Paper Citation Record · LEDGER

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

As of 7 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 3 inbound Pith citation observations for arXiv:2506.09907.

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pith.paper-citation-record.v1
2506.09907 v2

Coverage vector

measured 34 of 34 reference resolution

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measured 37 of 37 standing notices

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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

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

Reference resolution

34 of 34 outbound references displayed

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External citation measurements

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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

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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

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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

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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

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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

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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

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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

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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

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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

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

Reference 10

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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

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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

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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

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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

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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

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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

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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

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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

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

Reference 19

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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

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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

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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

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

Reference 23

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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