Paper Citation Record · LEDGER

Effective positivity of Hodge bundles and applications

As of 21 August 2026, this Paper Citation Record lists 82 of 82 outbound references and 4 inbound Pith citation observations for arXiv:2506.10515.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.10515 v2

Coverage vector

measured 82 of 82 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:40:12.169604Z

measured 86 of 86 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-12T04:51:34.305356Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-12T06:21:25.225049Z

Reference resolution

82 of 82 outbound references displayed

verified exact3
verified fuzzy63
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c72d8fd-c717-4ce6-b3c9-dfd6706406f4 · outbound

This paper cites Arbarello, M.

Effective positivity of Hodge bundles and applications Arbarello, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T04:40:04.956577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f5ea289-2d13-43f2-84ff-88ce4b2b3da2 · outbound

This paper cites an unresolved cited work.

Effective positivity of Hodge bundles and applications Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T04:40:05.082371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df75d3fa-a1d2-4f5d-83eb-412e49421cea · outbound

This paper cites Alexeev, Boundedness and K^2 for log surfaces, Internat.

Effective positivity of Hodge bundles and applications Alexeev, Boundedness and K^2 for log surfaces, Internat

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:26.165222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b28c2b5b-46f8-47be-b55c-175147a9d462 · outbound

This paper cites Positivity of the Moduli Part.

Effective positivity of Hodge bundles and applications Positivity of the Moduli Part

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T04:40:05.217218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e1fdc96-1edf-43ed-a990-73175df3bd4c · outbound

This paper cites Berman, K\" a hler-Einstein metrics, canonical random point processes and birational geometry , Proceedings of Symposia in Pure Mathematics, 97(1) (2018), pp.

Effective positivity of Hodge bundles and applications Berman, K\" a hler-Einstein metrics, canonical random point processes and birational geometry , Proceedings of Symposia in Pure Mathematics, 97(1) (2018), pp

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:25.822482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 19926a60-6d65-4fe2-bf43-4ec14d1454e4 · outbound

This paper cites Boucksom, J.P.

Effective positivity of Hodge bundles and applications Boucksom, J.P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:25.396323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 109e33b7-d105-46bb-a30f-312abc2227da · outbound

This paper cites Bhatt, W.

Effective positivity of Hodge bundles and applications Bhatt, W

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:25.021310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 90d0657b-2998-40a9-bf90-28c459795620 · outbound

This paper cites Birkar and D.-Q.

Effective positivity of Hodge bundles and applications Birkar and D.-Q

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:24.943831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b1386353-a553-46a1-ba3c-ea7db55d1edb · outbound

This paper cites Blum and M.

Effective positivity of Hodge bundles and applications Blum and M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:24.935825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 50212e76-e74b-4d9a-bfd4-0e9ed5f07869 · outbound

This paper cites Boucksom, T.

Effective positivity of Hodge bundles and applications Boucksom, T

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:24.785991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5319bdc5-f4d9-4717-bbe3-5629a22bb101 · outbound

This paper cites Cascini, New directions in the minimal model program, Bollettino dell'Unione Matematica Italiana 14 (2021), 179--190.

Effective positivity of Hodge bundles and applications Cascini, New directions in the minimal model program, Bollettino dell'Unione Matematica Italiana 14 (2021), 179--190

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:24.638344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 321a8634-ae88-449a-af16-c4680f5b7885 · outbound

This paper cites Corrêa, T: Fassarella, On the order of the automorphism group of foliations, Math.

Effective positivity of Hodge bundles and applications Corrêa, T: Fassarella, On the order of the automorphism group of foliations, Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:24.493917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bae990b7-89e7-4d0d-b55a-6ae7fac38a61 · outbound

This paper cites Corrêa, A.Muniz, Polynomial bounds for automorphisms groups of foliations, Rev.

Effective positivity of Hodge bundles and applications Corrêa, A.Muniz, Polynomial bounds for automorphisms groups of foliations, Rev

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:24.390707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 68c6078a-a636-4ac0-aa04-7a651d99a093 · outbound

This paper cites Cascini and C.

Effective positivity of Hodge bundles and applications Cascini and C

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T04:40:06.251451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72c370e3-2946-46e7-818a-4bd3480019e1 · outbound

This paper cites Cascini and C.

Effective positivity of Hodge bundles and applications Cascini and C

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T04:40:06.360766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea5605d2-f3e3-4b99-93f2-228ba2e00d13 · outbound

This paper cites Cascini and C.

Effective positivity of Hodge bundles and applications Cascini and C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:24.293648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 33ea5b5f-a210-4821-995c-9d2e090340eb · outbound

This paper cites Chen Convergence des polygones de Harder-Narasimhan, Mém.

Effective positivity of Hodge bundles and applications Chen Convergence des polygones de Harder-Narasimhan, Mém

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:24.172721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 91aff4bf-9619-41b2-bad2-9ac5b31e5654 · outbound

This paper cites Minimal model program for algebraically integrable foliations and generalized pairs.

Effective positivity of Hodge bundles and applications Minimal model program for algebraically integrable foliations and generalized pairs

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T04:40:06.593814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 935e4649-2226-4166-b039-06988a26a6bd · outbound

This paper cites Codogni and Zs.

Effective positivity of Hodge bundles and applications Codogni and Zs

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:24.041994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bba0e72c-f4c0-44de-b181-754ef4fec7a5 · outbound

This paper cites Codogni and Zs.

Effective positivity of Hodge bundles and applications Codogni and Zs

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:23.918272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cb754276-0726-4241-a69b-6285ac5ade07 · outbound

This paper cites Codogni, L.

Effective positivity of Hodge bundles and applications Codogni, L

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:23.790779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6862f209-f2ca-4527-8d14-fe5ff30eec98 · outbound

This paper cites Conrard, Grothendieck duality and base change, Lecture Notes in Mathematics 1750, Springer, 2000.

Effective positivity of Hodge bundles and applications Conrard, Grothendieck duality and base change, Lecture Notes in Mathematics 1750, Springer, 2000

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:23.648823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 58939255-a6f1-4312-abe7-5f87af348f08 · outbound

This paper cites Druel, Codimension 1 foliations with numerically trivial canonical class on singular spaces, Duke Math.

Effective positivity of Hodge bundles and applications Druel, Codimension 1 foliations with numerically trivial canonical class on singular spaces, Duke Math

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T04:40:07.055415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 204cce56-2379-4deb-a739-33c8152486d6 · outbound

This paper cites Esnault, E.

Effective positivity of Hodge bundles and applications Esnault, E

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:23.533152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b3faad1f-394d-4eed-878b-704d47efb8c2 · outbound

This paper cites Esnault, E.

Effective positivity of Hodge bundles and applications Esnault, E

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:23.387777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 261ebaa2-609d-4eb6-86cf-6db21447d997 · outbound

This paper cites Esnault and E.

Effective positivity of Hodge bundles and applications Esnault and E

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:23.229530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 50e1a917-02ba-46c9-a942-2fc8afaa6140 · outbound

This paper cites Filipazzi, C.

Effective positivity of Hodge bundles and applications Filipazzi, C

Reference 27

Resolution: verified exact; raw_fallback, observed 2026-08-07T04:40:12.723198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 01f974bd-18a8-4d69-a0e7-992457201cb7 · outbound

This paper cites Fujino, Fundamental theorems for semi log canonical pairs, Algebraic Geometry 1 (2014), no.

Effective positivity of Hodge bundles and applications Fujino, Fundamental theorems for semi log canonical pairs, Algebraic Geometry 1 (2014), no

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:23.047286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4aa4610d-a37b-4a1e-b79e-9545f9e080cc · outbound

This paper cites Fujino, Direct images of relative pluricanonical bundles, Algebr.

Effective positivity of Hodge bundles and applications Fujino, Direct images of relative pluricanonical bundles, Algebr

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:22.900480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d022b90f-df3b-40a8-a9c6-15c7a8f17fa2 · outbound

This paper cites Fujino, Semipositivity theorems for moduli problems, Ann.

Effective positivity of Hodge bundles and applications Fujino, Semipositivity theorems for moduli problems, Ann

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:22.737628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 43ed7a82-cbc7-482e-a7ce-0240b04f5832 · outbound

This paper cites Fujino, T.

Effective positivity of Hodge bundles and applications Fujino, T

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:22.574884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2d6cf0fd-15b6-41e8-88a3-c5ded8ae34f3 · outbound

This paper cites Fujino, T.

Effective positivity of Hodge bundles and applications Fujino, T

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:22.402497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8f46fad4-c9b9-4cfe-a4fa-896401974e20 · outbound

This paper cites Fujita, On K\"ahler fiber spaces over curves, J.

Effective positivity of Hodge bundles and applications Fujita, On K\"ahler fiber spaces over curves, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:22.232965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a3c844f5-969f-4964-9a2f-a542db67195f · outbound

This paper cites Fujita: On Bermann-Gibbs stability and K-stability of -Fano varieties by K.

Effective positivity of Hodge bundles and applications Fujita: On Bermann-Gibbs stability and K-stability of -Fano varieties by K

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:22.094107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7f33a6aa-49eb-4a47-80e5-517d4c314047 · outbound

This paper cites Fujita, Y.

Effective positivity of Hodge bundles and applications Fujita, Y

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:21.946895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c4fe0450-ad26-4f85-9052-3b4a4cad98b0 · outbound

This paper cites Fulger, The cones of effective cycles on projective bundles over curves.

Effective positivity of Hodge bundles and applications Fulger, The cones of effective cycles on projective bundles over curves

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:21.742226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7e90fb5d-68f5-4549-bc9c-4da538466e44 · outbound

This paper cites Hartshorne: Algebraic Geometry.

Effective positivity of Hodge bundles and applications Hartshorne: Algebraic Geometry

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:21.602603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 74e2b5f5-2ca8-425c-bba4-381476631ab6 · outbound

This paper cites an unresolved cited work.

Effective positivity of Hodge bundles and applications Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:40:21.425446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1ebddb91-b90a-46d3-8919-a2efc84448f6 · outbound

This paper cites Hacon, A.

Effective positivity of Hodge bundles and applications Hacon, A

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:21.243358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a6c7e90f-7f55-4eed-a694-c8d2d486365c · outbound

This paper cites Hacon, J.

Effective positivity of Hodge bundles and applications Hacon, J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:21.031198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c409a68a-3744-468c-a749-532ac3a23259 · outbound

This paper cites an unresolved cited work.

Effective positivity of Hodge bundles and applications Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:40:20.878097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c00f5c8d-0b7e-44df-b8b1-ee1a0f740f6e · outbound

This paper cites an unresolved cited work.

Effective positivity of Hodge bundles and applications Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:40:20.762341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1b58ead9-086c-4c5f-a0f5-3b0dfbabaa0a · outbound

This paper cites Volume of algebraically integrable foliations and locally stable families.

Effective positivity of Hodge bundles and applications Volume of algebraically integrable foliations and locally stable families

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T04:40:08.994073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bf59b2b-d3f1-4af5-9691-fd5b2e1197e6 · outbound

This paper cites Hartshorne, Stable reflexive sheaves, Math.

Effective positivity of Hodge bundles and applications Hartshorne, Stable reflexive sheaves, Math

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:20.681630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a0dd2b9c-1440-4e31-8b03-89504c4909c4 · outbound

This paper cites Hartshorne, Generalized divisors on Gorenstein Schemes, K-Theory v.

Effective positivity of Hodge bundles and applications Hartshorne, Generalized divisors on Gorenstein Schemes, K-Theory v

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:20.522393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e2c097de-3267-4df3-82e6-a40917daecd3 · outbound

This paper cites H\" o ring, Positivity of direct image sheaves - a geometric point of view.

Effective positivity of Hodge bundles and applications H\" o ring, Positivity of direct image sheaves - a geometric point of view

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:20.373303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8567b8b9-8745-4b20-ad0f-3a36765c00ec · outbound

This paper cites Kawamata, Characterization of abelian varieties, Compositio Math.

Effective positivity of Hodge bundles and applications Kawamata, Characterization of abelian varieties, Compositio Math

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:20.153293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6e2e916d-2540-45f1-acc6-6c3629942716 · outbound

This paper cites Kawamata, Kodaira dimension of algebraic fiber spaces over curves, Invent.

Effective positivity of Hodge bundles and applications Kawamata, Kodaira dimension of algebraic fiber spaces over curves, Invent

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:19.942556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f2c1e8a8-e9be-4da5-ad7e-2cf747c38d85 · outbound

This paper cites Koll\'ar, Higher direct images of dualizing sheaves.

Effective positivity of Hodge bundles and applications Koll\'ar, Higher direct images of dualizing sheaves

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:19.697737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9e51cbb7-5457-4c87-a7d3-9cb5e4e66f67 · outbound

This paper cites Koll\'ar, Higher direct images of dualizing sheaves.

Effective positivity of Hodge bundles and applications Koll\'ar, Higher direct images of dualizing sheaves

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:19.476316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d9870a32-77f1-4b60-bab5-4eb94d141877 · outbound

This paper cites Koll\'ar, Subadditivity of the Kodaira dimension: fibers of general type, Algebraic geometry, Sendai, 1985, Adv.

Effective positivity of Hodge bundles and applications Koll\'ar, Subadditivity of the Kodaira dimension: fibers of general type, Algebraic geometry, Sendai, 1985, Adv

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:19.241244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d27745f4-32cc-4204-8a3c-52c2e8e9d4f0 · outbound

This paper cites Koll\'ar, Projectivity of complete moduli, J.

Effective positivity of Hodge bundles and applications Koll\'ar, Projectivity of complete moduli, J

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:18.960023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6ea98dd9-e271-4a51-8ee2-eb4b856496f1 · outbound

This paper cites Koll\'ar, Lectures on Resolution of Singularities, Annals of Mathematics Studies, Volume 166, Princeton University Press 2007.

Effective positivity of Hodge bundles and applications Koll\'ar, Lectures on Resolution of Singularities, Annals of Mathematics Studies, Volume 166, Princeton University Press 2007

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:18.692248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4e57592d-ae48-40bd-9ea0-65c881aa51d4 · outbound

This paper cites Koll\'ar, A local version of the Kawamata-Viehweg vanishing theorem, Pure Appl.

Effective positivity of Hodge bundles and applications Koll\'ar, A local version of the Kawamata-Viehweg vanishing theorem, Pure Appl

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:18.436316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 117ad2ba-6c60-4d4f-8893-d9acfedc9aa8 · outbound

This paper cites Koll\'ar, Singularities of the Minimal Model Program, Cambridge University Press (2013).

Effective positivity of Hodge bundles and applications Koll\'ar, Singularities of the Minimal Model Program, Cambridge University Press (2013)

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:18.146540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e82842fb-f2c5-4a18-99cb-3eec197e8ebf · outbound

This paper cites Koll\'ar, Log-plurigenera in stable families., Peking Math.

Effective positivity of Hodge bundles and applications Koll\'ar, Log-plurigenera in stable families., Peking Math

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:17.871410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 98f1f513-20b1-43c7-ba32-64455a1eddbd · outbound

This paper cites Koll\'ar, Families of Varieties of General Type, Cambridge University Press (2023).

Effective positivity of Hodge bundles and applications Koll\'ar, Families of Varieties of General Type, Cambridge University Press (2023)

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:17.557323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9b13f7cc-c260-4f37-baf6-f9f93913d98b · outbound

This paper cites Koll\'ar and S.

Effective positivity of Hodge bundles and applications Koll\'ar and S

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:17.270275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e030ca2d-4d53-4b15-819c-2a3c5fed0ca7 · outbound

This paper cites an unresolved cited work.

Effective positivity of Hodge bundles and applications Unresolved cited work

Reference 59

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:40:16.982978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6474ed5c-89f0-4dab-ad02-8c64d094d672 · outbound

This paper cites Kawamata, K.

Effective positivity of Hodge bundles and applications Kawamata, K

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:16.755546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 75ed9297-f163-466d-87eb-b9ed746ed42d · outbound

This paper cites Kovac Zs.

Effective positivity of Hodge bundles and applications Kovac Zs

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:16.482172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 28013ba1-1211-4e83-b44a-2136cf238dce · outbound

This paper cites Lazarsfeld, Positivity in Algebraic Geometry Vol.

Effective positivity of Hodge bundles and applications Lazarsfeld, Positivity in Algebraic Geometry Vol

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:16.245855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bc662689-0aac-4e69-9061-ccee74795dd6 · outbound

This paper cites Minimal model program for algebraically integrable foliations on klt varieties.

Effective positivity of Hodge bundles and applications Minimal model program for algebraically integrable foliations on klt varieties

Reference 63

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:40:12.468119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 253892ed-4c97-4dcb-937f-ce3ddeb0231b · outbound

This paper cites L\" u , Unboundedness of foliated varieties , International Journal of Mathematics Vol.

Effective positivity of Hodge bundles and applications L\" u , Unboundedness of foliated varieties , International Journal of Mathematics Vol

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:15.993635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dc17d07c-fd3b-413e-a6f6-89c16628a9af · outbound

This paper cites The Poincar\'e Problem for a foliated surface.

Effective positivity of Hodge bundles and applications The Poincar\'e Problem for a foliated surface

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-07T04:40:10.790210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ab42304-7a0b-4058-8f09-bc7fa4b33acd · outbound

This paper cites Mumford, Abelian Varieties, Tata Institute of Fundamental Research Publications Volume: 13; 2012; 263 pp.

Effective positivity of Hodge bundles and applications Mumford, Abelian Varieties, Tata Institute of Fundamental Research Publications Volume: 13; 2012; 263 pp

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:15.765968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0727fd6f-50d3-4b30-a0b2-5834319fe1bd · outbound

This paper cites Nakayama: Zariski-decomposition and abundance.

Effective positivity of Hodge bundles and applications Nakayama: Zariski-decomposition and abundance

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:15.533110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1f6dd8bd-b536-4501-8daf-42d357e55c9f · outbound

This paper cites Numerical conditions for the boundedness of foliated surfaces.

Effective positivity of Hodge bundles and applications Numerical conditions for the boundedness of foliated surfaces

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-07T04:40:11.020786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afdbae25-53fc-407f-976b-caac34aaaec3 · outbound

This paper cites Patakfalvi, Semi positivity in positive characteristic Annales scientifiques de l'ENS, vol 47, no 5, (2014).

Effective positivity of Hodge bundles and applications Patakfalvi, Semi positivity in positive characteristic Annales scientifiques de l'ENS, vol 47, no 5, (2014)

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:15.294490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5d2a8d86-7bc6-4bfa-afde-279068f2766e · outbound

This paper cites Patakfalvi, Fibered stable varieties, Trans.

Effective positivity of Hodge bundles and applications Patakfalvi, Fibered stable varieties, Trans

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:15.077618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 422f8f0c-409f-4b15-906a-4e4114b2aa9d · outbound

This paper cites Pereira, P.F.

Effective positivity of Hodge bundles and applications Pereira, P.F

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:14.858534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2d991c4e-feb6-4f5a-8489-45fbbff929b3 · outbound

This paper cites Pereira, R.

Effective positivity of Hodge bundles and applications Pereira, R

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:14.606022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e9b49d88-af96-4487-b23f-71377f6d95c7 · outbound

This paper cites Patakfalvi, M.

Effective positivity of Hodge bundles and applications Patakfalvi, M

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:14.344472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8f8bfb8d-5547-40fe-87d6-580024a65e84 · outbound

This paper cites Patakfalvi, C.

Effective positivity of Hodge bundles and applications Patakfalvi, C

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:14.132188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 114b61ea-7675-41be-bf99-1f815dbd97dc · outbound

This paper cites an unresolved cited work.

Effective positivity of Hodge bundles and applications Unresolved cited work

Reference 75

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:40:13.958182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 738750d8-7416-4dd0-91b2-ea3ea8adaddd · outbound

This paper cites an unresolved cited work.

Effective positivity of Hodge bundles and applications Unresolved cited work

Reference 76

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:40:13.776177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0bc634b8-5f84-4ab1-8320-cf84b3672ef2 · outbound

This paper cites Continuity of the Weil-Petersson potential.

Effective positivity of Hodge bundles and applications Continuity of the Weil-Petersson potential

Reference 77

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:40:12.318941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ea8cc9a5-7ede-4d6b-8b5f-9efabe56dc32 · outbound

This paper cites Spicer, R.

Effective positivity of Hodge bundles and applications Spicer, R

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:13.566582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2d3ef8e7-4102-4c17-b0d4-3fa3069cd3f2 · outbound

This paper cites Viehweg, Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs., J.

Effective positivity of Hodge bundles and applications Viehweg, Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs., J

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:13.423398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a641dc8b-14a0-4d69-8e27-2a8ff0efd1ec · outbound

This paper cites Viehweg, Weak positivity and the additivity of the Kodaira dimension for certain fibre spaces, Adv.

Effective positivity of Hodge bundles and applications Viehweg, Weak positivity and the additivity of the Kodaira dimension for certain fibre spaces, Adv

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:13.207457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 10849933-bfcb-4937-879f-fd49a32b261c · outbound

This paper cites Viehweg, Positivity of direct image sheaves and applications to families of higher dimensional manifolds.

Effective positivity of Hodge bundles and applications Viehweg, Positivity of direct image sheaves and applications to families of higher dimensional manifolds

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:13.070890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9b7b1fbe-6dad-4fd6-ac25-b787ab32cbef · outbound

This paper cites Xu and Z.

Effective positivity of Hodge bundles and applications Xu and Z

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:40:12.907700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 5895ce88-8e65-40ad-ae93-510a0b4a5f93 · inbound

Birational boundedness of stable families cites this paper.

Birational boundedness of stable families Effective positivity of Hodge bundles and applications

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-11T22:56:15.584211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2a3ff987-f17d-4614-a2c5-80c58a33866f · inbound

The minimal volume of stable surfaces of rank one cites this paper.

The minimal volume of stable surfaces of rank one Effective positivity of Hodge bundles and applications

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:06:14.885698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dbabe32b-bd3c-4b4d-b04a-55baf6144a63 · inbound

The minimal volume of stable surfaces of rank one cites this paper.

The minimal volume of stable surfaces of rank one Effective positivity of Hodge bundles and applications

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-12T05:51:26.504237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d5f7b280-9587-40ec-b5d4-e35f6cce1359 · inbound

Quasi-Projective Moduli for Polarized klt Good Minimal Models cites this paper.

Quasi-Projective Moduli for Polarized klt Good Minimal Models Effective positivity of Hodge bundles and applications

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:21:25.228594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.