Non-vanishing implies numerical dimension one abundance | Paper Citation Record

Observation c90528da-11ba-445e-9a5e-3a10b32ddafe · outbound

This paper cites Ambro, The moduli b-divisor of an lc-trivial fibration, Compos.

Non-vanishing implies numerical dimension one abundance Ambro, The moduli b-divisor of an lc-trivial fibration, Compos

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.920583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation acbb2cd9-0904-4a0e-9394-98b7c863de73 · outbound

This paper cites Barth, C.

Non-vanishing implies numerical dimension one abundance Barth, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.903460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1c364d10-e074-4bf8-bb8a-68510d1b453f · outbound

This paper cites Birkar, Ascending chain condition for log canonical thresholds and termination of log flips, Duke Math.

Non-vanishing implies numerical dimension one abundance Birkar, Ascending chain condition for log canonical thresholds and termination of log flips, Duke Math

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.886896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3e1c849a-9e0f-4750-a4c0-c8fa72814114 · outbound

This paper cites Birkar, On existence of log minimal models, Compos.

Non-vanishing implies numerical dimension one abundance Birkar, On existence of log minimal models, Compos

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.870891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8ca6375b-2e19-4952-8bf8-c51ee7e63401 · outbound

This paper cites Birkar, On existence of log minimal models II, J.

Non-vanishing implies numerical dimension one abundance Birkar, On existence of log minimal models II, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.854911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9b7a5ec6-cc39-404d-9238-9fdaca77761f · outbound

This paper cites Birkar, Existence of log canonical flips and a special LMMP, Publ.

Non-vanishing implies numerical dimension one abundance Birkar, Existence of log canonical flips and a special LMMP, Publ

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.839229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d26a129e-38db-4896-a0c0-c7223f9303a9 · outbound

This paper cites Birkar, P.

Non-vanishing implies numerical dimension one abundance Birkar, P

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:43.665526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6fe856a-cf1c-4268-8f0e-7bb4612404f7 · outbound

This paper cites Boucksom, J.-P.

Non-vanishing implies numerical dimension one abundance Boucksom, J.-P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.814748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1fbc3b79-c9c7-41ca-bdcd-7d4c13d7904e · outbound

This paper cites Campana, V.

Non-vanishing implies numerical dimension one abundance Campana, V

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.799965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0f89b9b5-4889-4a91-965d-bcf1570e5083 · outbound

This paper cites Campana and T.

Non-vanishing implies numerical dimension one abundance Campana and T

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.784182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0cdead32-d97f-4832-a9be-072978648755 · outbound

This paper cites an unresolved cited work.

Non-vanishing implies numerical dimension one abundance Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:23:45.767325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 680b8916-3f45-4594-8a71-e968e789e64b · outbound

This paper cites an unresolved cited work.

Non-vanishing implies numerical dimension one abundance Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:43.689807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f11bfeb5-c6fb-44a4-8852-a266a9cb4c49 · outbound

This paper cites Demailly, C.

Non-vanishing implies numerical dimension one abundance Demailly, C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.741986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ecf66185-e69a-460b-a687-9622f0572ead · outbound

This paper cites Druel, Quelques remarques sur la décomposition de Zariski divisorielle sur les variétés dont la premi\'ere classe de Chern est nulle, Math.

Non-vanishing implies numerical dimension one abundance Druel, Quelques remarques sur la décomposition de Zariski divisorielle sur les variétés dont la premi\'ere classe de Chern est nulle, Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.726410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 57a3a55d-7a73-481d-90bd-a308c758ced2 · outbound

This paper cites Fujino, Abundance theorem for semi log canonical threefolds, Duke Math.

Non-vanishing implies numerical dimension one abundance Fujino, Abundance theorem for semi log canonical threefolds, Duke Math

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:43.702494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a92efa39-69e5-46ee-a9c8-b50cce3c28bd · outbound

This paper cites Fujino, Termination of 4 -fold canonical flips, Publ.

Non-vanishing implies numerical dimension one abundance Fujino, Termination of 4 -fold canonical flips, Publ

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.699096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1b8aa321-8da8-4596-ad19-1595ff215359 · outbound

This paper cites Termination of 4 -fold canonical flips.

Non-vanishing implies numerical dimension one abundance Termination of 4 -fold canonical flips

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.683736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b724beef-39a4-49be-9b40-5efc2cbf24b6 · outbound

This paper cites Fujino, Corrigendum: On subadditivity of the logarithmic Kodaira dimension, J.

Non-vanishing implies numerical dimension one abundance Fujino, Corrigendum: On subadditivity of the logarithmic Kodaira dimension, J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:43.781493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea7fe643-5ce3-4c1e-bb81-56677e97289f · outbound

This paper cites Gongyo, On the minimal model theory for dlt pairs of numerical log Kodaira dimension zero, Math.

Non-vanishing implies numerical dimension one abundance Gongyo, On the minimal model theory for dlt pairs of numerical log Kodaira dimension zero, Math

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.658735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2fe0d4e1-5c0b-49e2-a368-23c9786c2ecb · outbound

This paper cites Gongyo, Abundance theorem for numerically trivial log canonical divisors of semi-log canonical pairs, J.

Non-vanishing implies numerical dimension one abundance Gongyo, Abundance theorem for numerically trivial log canonical divisors of semi-log canonical pairs, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.643772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6ec6bef7-5426-4ccd-a7d6-fe14a26eb48b · outbound

This paper cites Gongyo and B.

Non-vanishing implies numerical dimension one abundance Gongyo and B

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:43.843460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c30f8661-861d-4222-a95d-f7a7463f8ec7 · outbound

This paper cites Gongyo and S.

Non-vanishing implies numerical dimension one abundance Gongyo and S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.618906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ceb92f15-5630-486a-b7c0-8c00794f4613 · outbound

This paper cites an unresolved cited work.

Non-vanishing implies numerical dimension one abundance Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:23:45.603513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a5bf0e1d-491e-4c26-b9b6-ada0a54ce3f2 · outbound

This paper cites Han and Z.

Non-vanishing implies numerical dimension one abundance Han and Z

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:43.859566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8eb992d0-bc23-43ce-84ea-fe21ac29d46a · outbound

This paper cites an unresolved cited work.

Non-vanishing implies numerical dimension one abundance Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:23:45.577327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1b1d34df-bc39-401e-b909-365e487bb5b0 · outbound

This paper cites Hashizume, On the non-vanishing conjecture and existence of log minimal models, Publ.

Non-vanishing implies numerical dimension one abundance Hashizume, On the non-vanishing conjecture and existence of log minimal models, Publ

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.561177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9f474d60-009e-4ece-8e49-a8585ae40986 · outbound

This paper cites Hashizume, Remarks on special kinds of the relative log minimal model program, Manuscripta Math.

Non-vanishing implies numerical dimension one abundance Hashizume, Remarks on special kinds of the relative log minimal model program, Manuscripta Math

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:43.874352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01570154-2e79-4237-bb07-f2b82e12c379 · outbound

This paper cites Hashizume, Non-vanishing theorem for lc pairs admitting a Calabi–Yau pair, Math.

Non-vanishing implies numerical dimension one abundance Hashizume, Non-vanishing theorem for lc pairs admitting a Calabi–Yau pair, Math

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.534027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 72d5a689-324c-4798-9d05-3ec35c0d1e65 · outbound

This paper cites Hashizume and Z.

Non-vanishing implies numerical dimension one abundance Hashizume and Z

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.517964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 04b50ef6-81dc-41ea-9169-4758eff7cfd6 · outbound

This paper cites an unresolved cited work.

Non-vanishing implies numerical dimension one abundance Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:44.143005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65f0a4ed-09ac-48ff-8205-a903a01a730b · outbound

This paper cites On generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part.

Non-vanishing implies numerical dimension one abundance On generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:44.398471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a4afc39-dca7-4cdd-999e-c3138d86ff98 · outbound

This paper cites Kawamata, Pluricanonical systems on minimal algebraic varieties, Invent.

Non-vanishing implies numerical dimension one abundance Kawamata, Pluricanonical systems on minimal algebraic varieties, Invent

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:44.657299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1793b11-b9f6-4987-a74c-4a3b2c8c1fcb · outbound

This paper cites Kawamata, Minimal models and the Kodaira dimension of algebraic fiber spaces, J.

Non-vanishing implies numerical dimension one abundance Kawamata, Minimal models and the Kodaira dimension of algebraic fiber spaces, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.490127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9701770e-a7c5-4400-9b5e-6f7f7af6ded2 · outbound

This paper cites Kawamata, Abundance theorem for minimal threefolds, Invent.

Non-vanishing implies numerical dimension one abundance Kawamata, Abundance theorem for minimal threefolds, Invent

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.472456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e0509ac5-f466-468c-aff6-75909537e327 · outbound

This paper cites A remark on the abundance conjecture.

Non-vanishing implies numerical dimension one abundance A remark on the abundance conjecture

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:23:45.023999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f89fc11e-4aec-4259-ba9b-88d2185c971a · outbound

This paper cites Kawamata, On the abundance theorem in the case of numerical Kodaira dimension zero, Amer.

Non-vanishing implies numerical dimension one abundance Kawamata, On the abundance theorem in the case of numerical Kodaira dimension zero, Amer

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:44.779132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5297a129-cdd8-46d6-ade8-1a396093dd01 · outbound

This paper cites an unresolved cited work.

Non-vanishing implies numerical dimension one abundance Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:23:45.445619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bff59c68-32bc-415e-bc44-5e95f689102c · outbound

This paper cites Koll\'ar, Singularities of the minimal model program, Cambridge Tracts in Math.

Non-vanishing implies numerical dimension one abundance Koll\'ar, Singularities of the minimal model program, Cambridge Tracts in Math

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.427135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 54dda95f-2ccb-4e2b-9aee-206e1947b2c0 · outbound

This paper cites Koll\'ar, Families of varieties of general type, Cambridge Tracts in Math.

Non-vanishing implies numerical dimension one abundance Koll\'ar, Families of varieties of general type, Cambridge Tracts in Math

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.410250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e605d5ef-2086-484e-9393-d256019ef9e2 · outbound

This paper cites Koll\'ar et al., Flip and abundance for algebraic threefolds, Ast\'erisque 211 (1992).

Non-vanishing implies numerical dimension one abundance Koll\'ar et al., Flip and abundance for algebraic threefolds, Ast\'erisque 211 (1992)

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.393350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8e51d177-c42b-4320-92dd-9396870189b3 · outbound

This paper cites Koll\'ar and S.

Non-vanishing implies numerical dimension one abundance Koll\'ar and S

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.377710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation edeb6dd0-9f1d-4036-b01e-7e0aec4e494b · outbound

This paper cites Koll\'ar and S.

Non-vanishing implies numerical dimension one abundance Koll\'ar and S

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.362645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b0905992-2698-4a2d-88fe-3587872c9a77 · outbound

This paper cites Lai, Varieties fibered by good minimal models, Math.

Non-vanishing implies numerical dimension one abundance Lai, Varieties fibered by good minimal models, Math

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:44.849717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e17fdc5-4b21-4fe0-842f-f7525f830e86 · outbound

This paper cites Metrics with minimal singularities and the Abundance conjecture.

Non-vanishing implies numerical dimension one abundance Metrics with minimal singularities and the Abundance conjecture

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:23:44.992998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 320265ba-0304-4a83-a691-d73dc9aa686e · outbound

This paper cites Lazić and F.

Non-vanishing implies numerical dimension one abundance Lazić and F

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.335246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d964100b-87e8-4568-a190-b475ef640de8 · outbound

This paper cites Lazić and T.

Non-vanishing implies numerical dimension one abundance Lazić and T

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.319746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 19975a95-7671-479c-b2bf-dfb100823e35 · outbound

This paper cites Lazić and T.

Non-vanishing implies numerical dimension one abundance Lazić and T

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.304046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation eff10041-e060-420b-a85c-96ed8253dab9 · outbound

This paper cites Lazić and T.

Non-vanishing implies numerical dimension one abundance Lazić and T

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.287470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fdee6e66-d760-4c5a-95e8-4b9660cc26dc · outbound

This paper cites Lazić and N.

Non-vanishing implies numerical dimension one abundance Lazić and N

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.271931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f1ee0cf2-03eb-45d2-bb2e-9fc6e226640a · outbound

This paper cites Liu and L.

Non-vanishing implies numerical dimension one abundance Liu and L

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:44.892223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e878fbf1-cb2c-487b-9ab7-b6cf685b45f6 · outbound

This paper cites MMP for locally stable families and wall crossing for moduli of stable pairs.

Non-vanishing implies numerical dimension one abundance MMP for locally stable families and wall crossing for moduli of stable pairs

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:44.897427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 841ead81-f358-4c73-8a90-eede6d1821e1 · outbound

This paper cites Miyaoka, The Chern classes and Kodaira dimension of a minimal variety, Adv.

Non-vanishing implies numerical dimension one abundance Miyaoka, The Chern classes and Kodaira dimension of a minimal variety, Adv

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.243849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 19265d04-4ed0-4aa0-b0c9-9f72ff80191f · outbound

This paper cites Miyaoka, On the Kodaira dimension of minimal threefolds, Math.

Non-vanishing implies numerical dimension one abundance Miyaoka, On the Kodaira dimension of minimal threefolds, Math

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.223356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 04a889ea-82cb-496b-af31-74ca8ff184f2 · outbound

This paper cites Miyaoka, Abundance conjecture for 3-folds: case =1 , Compos.

Non-vanishing implies numerical dimension one abundance Miyaoka, Abundance conjecture for 3-folds: case =1 , Compos

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.204682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0b271722-9129-4240-b2d8-321cc2da1099 · outbound

This paper cites Nakayama, Zariski-decomposition and abundance, MSJ Mem.

Non-vanishing implies numerical dimension one abundance Nakayama, Zariski-decomposition and abundance, MSJ Mem

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:23:45.187765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7cf620ab-3ca9-45b5-b9e7-87a6960fdb3f · outbound

This paper cites an unresolved cited work.

Non-vanishing implies numerical dimension one abundance Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:23:45.168903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f3adde14-519f-4ebe-a516-ff574017f6a2 · outbound

This paper cites an unresolved cited work.

Non-vanishing implies numerical dimension one abundance Unresolved cited work

Reference 57

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:23:45.139016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Pith citing papers