Paper Citation Record · LEDGER

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon)

As of 14 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 3 inbound Pith citation observations for arXiv:2506.09907.

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

pith.paper-citation-record.v1
2506.09907 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:51:27.711951Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:22:56.569266Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T02:39:25.028948Z

Reference resolution

34 of 34 outbound references displayed

verified exact0
verified fuzzy29
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f8d6d2fa-0a2e-4e06-93a4-df7db7aefdf3 · outbound

This paper cites an unresolved cited work.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:51:34.549089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation aada5c0b-5152-48c2-b7b0-78e1da56d502 · outbound

This paper cites ahler manifolds . ESI Lectures in Mathematics and Physics. European Mathematical Society (EMS), Z\.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) ahler manifolds . ESI Lectures in Mathematics and Physics. European Mathematical Society (EMS), Z\

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:34.523263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 636eda76-1168-4b35-a3b5-62458c639664 · outbound

This paper cites Weak K \"ahler hyperbolicity is birational.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Weak K \"ahler hyperbolicity is birational

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:34.329888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 43572514-10fb-471f-8dca-b96b44cc3de5 · outbound

This paper cites Weakly K \"ahler hyperbolic manifolds and the G reen- G riffiths- L ang conjecture.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Weakly K \"ahler hyperbolic manifolds and the G reen- G riffiths- L ang conjecture

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:34.125330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ac29a771-ccbb-473a-bdcd-c50c54a2c1db · outbound

This paper cites Introduction to H odge theory , volume 8 of SMF/AMS Texts and Monographs.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Introduction to H odge theory , volume 8 of SMF/AMS Texts and Monographs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:33.864623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bd1c463d-f796-4ce9-8e8c-674eb467f0b2 · outbound

This paper cites The pseudo-effective cone of a compact K \"ahler manifold and varieties of negative K odaira dimension.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) The pseudo-effective cone of a compact K \"ahler manifold and varieties of negative K odaira dimension

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:33.599122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation df756c80-385c-48a9-b914-219899e44921 · outbound

This paper cites Sobolev spaces and B ochner L aplacian on complex projective varieties and stratified pseudomanifolds.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Sobolev spaces and B ochner L aplacian on complex projective varieties and stratified pseudomanifolds

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:33.388868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e8047f31-32c6-495e-928a-f5363f0bf176 · outbound

This paper cites el Broustet and Andreas H\.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) el Broustet and Andreas H\

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:33.149092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0f89e5e2-28ee-4348-accd-085843179de8 · outbound

This paper cites Brunnbauer, D.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Brunnbauer, D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:32.885821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8349b059-44c7-4b06-a30f-a5b39ffba99b · outbound

This paper cites an unresolved cited work.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:51:32.635004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2f44acb8-4126-41d1-910d-e8bf0ff3fa84 · outbound

This paper cites Isoperimetric inequalities , volume 145 of Cambridge Tracts in Mathematics.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Isoperimetric inequalities , volume 145 of Cambridge Tracts in Mathematics

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:32.447043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 62ed1e36-9aa2-476c-b55f-0cb683b24388 · outbound

This paper cites Examples of a non-vanishing conjecture of K awamata.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Examples of a non-vanishing conjecture of K awamata

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:32.224703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 052d3a37-dc2b-4630-83ab-3a55e8e294a4 · outbound

This paper cites Refined K ato inequalities for harmonic fields on K \"ahler manifolds.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Refined K ato inequalities for harmonic fields on K \"ahler manifolds

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:32.007745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 526554fe-d3e3-492e-ba7c-295f5a30ab96 · outbound

This paper cites Higher-dimensional algebraic geometry.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Higher-dimensional algebraic geometry

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T04:51:26.500164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68e05657-2e87-470a-8341-7a1042dd6b1a · outbound

This paper cites Champs magn\'etiques et in\'egalit\'es de M orse pour la d'' -cohomologie.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Champs magn\'etiques et in\'egalit\'es de M orse pour la d'' -cohomologie

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:31.807600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 772a277b-66ce-4276-9a02-19695d0cae1c · outbound

This paper cites Vanishing theorems for tensor powers of a positive vector bundle.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Vanishing theorems for tensor powers of a positive vector bundle

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:31.631732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e4161e1e-17e2-40df-bb2d-e9ec4c25ade8 · outbound

This paper cites Vanishing theorems for tensor powers of an ample vector bundle.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Vanishing theorems for tensor powers of an ample vector bundle

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:31.378122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4901a94c-68fa-4d77-8d14-e8f356cc64ff · outbound

This paper cites Vanishing theorems for square-integrable harmonic forms.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Vanishing theorems for square-integrable harmonic forms

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:31.127329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1b790cd2-6ef2-4d07-afcf-9d3d6cda7f64 · outbound

This paper cites Demailly and H.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Demailly and H

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:30.854599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6e0eaf76-1261-4f7e-bda2-969eb84f2934 · outbound

This paper cites auser Classics. Birkh\.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) auser Classics. Birkh\

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:30.640159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2b1d7d8c-2cd3-44c5-be03-ca22f2f181c1 · outbound

This paper cites La caract\'eristique d' E uler du complexe de G auss- M anin.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) La caract\'eristique d' E uler du complexe de G auss- M anin

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:30.415723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d02e8a60-0d3d-4bcc-9414-243d0be98dff · outbound

This paper cites Syst\`emes lin\'eaires adjoints L^2.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Syst\`emes lin\'eaires adjoints L^2

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:30.163000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bc043375-4662-4140-ab5a-9e11fbb35ef4 · outbound

This paper cites an unresolved cited work.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:51:29.890178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b410d3d0-2886-4080-8b44-9ad882f5988d · outbound

This paper cites On a conjecture of B eltrametti and S ommese.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) On a conjecture of B eltrametti and S ommese

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:29.606677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation aa18e377-a318-4ec7-9220-297c8c8b5151 · outbound

This paper cites Scalar curvature and uniruledness on projective manifolds.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Scalar curvature and uniruledness on projective manifolds

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:29.301110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0c25b3bb-178d-4289-8739-036c78f2d01d · outbound

This paper cites Shafarevich maps and automorphic forms.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Shafarevich maps and automorphic forms

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:29.069757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a72baaac-e310-4531-86a0-f71f966ef328 · outbound

This paper cites Operators of F uchs type, conical singularities, and asymptotic methods , volume 136 of Teubner-Texte zur Mathematik [Teubner Texts in Mathematics].

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Operators of F uchs type, conical singularities, and asymptotic methods , volume 136 of Teubner-Texte zur Mathematik [Teubner Texts in Mathematics]

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:28.844173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 44a99e73-b9ad-42ec-862b-a867dbb4fe4e · outbound

This paper cites L^2 -invariants: theory and applications to geometry and K -theory , volume 44 of Ergebnisse der Mathematik und ihrer Grenzgebiete.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) L^2 -invariants: theory and applications to geometry and K -theory , volume 44 of Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T04:51:27.389356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 819cffb6-b27a-47b1-997c-c4b022967988 · outbound

This paper cites Vanishing theorems for ample vector bundles.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Vanishing theorems for ample vector bundles

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:28.668322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fe0ef3d8-1e90-4fe2-9c5f-09eff91ece6f · outbound

This paper cites Elliptic operators, topology and asymptotic methods , volume 395 of Pitman Research Notes in Mathematics Series.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Elliptic operators, topology and asymptotic methods , volume 395 of Pitman Research Notes in Mathematics Series

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:28.454690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 78db7c99-be4a-490a-b235-84c0ccf79a2e · outbound

This paper cites A vanishing theorem for semipositive line bundles over non- K \"ahler manifolds.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) A vanishing theorem for semipositive line bundles over non- K \"ahler manifolds

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:28.316826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 23475f3a-f32e-4007-9c0b-d89d4383f79e · outbound

This paper cites Some recent results in complex manifold theory related to vanishing theorems for the semipositive case.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Some recent results in complex manifold theory related to vanishing theorems for the semipositive case

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:28.182292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d9bcbb75-1e2c-49f8-8b5b-db8fb412ad1b · outbound

This paper cites Nonvanishing theorems on an algebraic variety with large fundamental group.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Nonvanishing theorems on an algebraic variety with large fundamental group

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:28.057290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation af577bfd-d6e7-4de2-b726-2a3f2f3798d7 · outbound

This paper cites Hodge theory and complex algebraic geometry.

Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon) Hodge theory and complex algebraic geometry

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:51:27.897954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 0c945027-0784-47fc-82ca-d25a16d4e67c · inbound

Holomorphic Deformations of Compact K\"ahler Hyperbolic Manifolds cites this paper.

Holomorphic Deformations of Compact K\"ahler Hyperbolic Manifolds Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T22:22:56.569266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa32f525-55bd-468a-9f4c-b89f940f78ae · inbound

Geometric Rigidity via Almost-Harmonic Twisted Spinors cites this paper.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon)

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-04T02:39:25.030490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 95d8c492-ed88-4383-be28-646f9eb8096e · inbound

Geometric Rigidity via Almost-Harmonic Twisted Spinors cites this paper.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:42.273158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.