Paper Citation Record · LEDGER

Geometry of Holomorphic One-forms on Smooth Projective Varieties

As of 13 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 3 inbound Pith citation observations for arXiv:2606.08185.

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

pith.paper-citation-record.v1
2606.08185 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T18:58:54.311674Z

measured 33 of 33 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:21:09.731999Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-11T05:17:51.891213Z

Reference resolution

30 of 30 outbound references displayed

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verified fuzzy0
unresolved29
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Outbound references

Observation b61a25e8-f074-474d-9606-850b7855bab6 · outbound

This paper cites Annulation duH 1 et syst` emes paracanoniques sur les surfaces.J.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Annulation duH 1 et syst` emes paracanoniques sur les surfaces.J

Reference 1

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Observation a0bc7643-9391-4695-bcc4-b2f3cc19ee2e · outbound

This paper cites Rank one local systems and forms of degree one.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Rank one local systems and forms of degree one

Reference 2

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Observation cc0b4050-057f-4f92-8578-a43e8adbc4e5 · outbound

This paper cites Nowhere vanishing holomorphic one-forms and fibrations over abelian varieties.Adv.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Nowhere vanishing holomorphic one-forms and fibrations over abelian varieties.Adv

Reference 3

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Observation be974f0a-6687-4cbc-9a1e-9f91fbddcbc5 · outbound

This paper cites Nowhere vanishing 1-forms on varieties admitting a good minimal model, 2024.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Nowhere vanishing 1-forms on varieties admitting a good minimal model, 2024

Reference 4

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Observation 32d971b3-5310-4453-8844-7c91d1ecc142 · outbound

This paper cites Nowhere vanishing 1-forms on four-folds.International Mathematics Research Notices, 2026(11):rnag102, 06 2026.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Nowhere vanishing 1-forms on four-folds.International Mathematics Research Notices, 2026(11):rnag102, 06 2026

Reference 5

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Observation 4342e049-a75d-41d0-b925-014f59de3d36 · outbound

This paper cites In´ egalit´ es num´ eriques pour les surfaces de type g´ en´ eral.Bull.

Geometry of Holomorphic One-forms on Smooth Projective Varieties In´ egalit´ es num´ eriques pour les surfaces de type g´ en´ eral.Bull

Reference 6

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Observation 867824b0-0d4f-4ee9-b022-8017fc5addff · outbound

This paper cites Strong Bertini theorems.Trans.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Strong Bertini theorems.Trans

Reference 7

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Observation 26c0fc43-7258-43af-bd0b-446e514df03b · outbound

This paper cites an unresolved cited work.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Unresolved cited work

Reference 8

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Observation c36208d5-77bf-4269-bdf9-0292fc237c0b · outbound

This paper cites Generic vanishing, 1-forms, and topology of Al- banese maps.Math.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Generic vanishing, 1-forms, and topology of Al- banese maps.Math

Reference 9

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Observation 1d52ea64-e0ea-46e5-b3d5-cf9e95734c22 · outbound

This paper cites Homotopically trivial deformations.J.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Homotopically trivial deformations.J

Reference 10

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Observation a3efcb05-55c9-4bde-8fb8-e1da2525206a · outbound

This paper cites Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville.Invent.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville.Invent

Reference 11

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Observation 84a5e5a6-9a65-46c6-a406-157aeed0967d · outbound

This paper cites Hacon and S´ andor J.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Hacon and S´ andor J

Reference 12

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Observation 1235862e-5dc8-40fc-850a-6e824ce377bf · outbound

This paper cites Nowhere vanishing holomorphic one-forms on varieties of Kodaira codimension one.Int.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Nowhere vanishing holomorphic one-forms on varieties of Kodaira codimension one.Int

Reference 13

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Observation f170e0c2-68a7-4e1d-b26d-f5b6486d869a · outbound

This paper cites Holomorphic one-forms without zeros on threefolds.Geom.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Holomorphic one-forms without zeros on threefolds.Geom

Reference 14

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Observation fdae0f17-6f90-4c26-a96d-7922d3753306 · outbound

This paper cites Good minimal models with nowhere vanishing holomor- phic 1-forms.Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 2026.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Good minimal models with nowhere vanishing holomor- phic 1-forms.Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 2026

Reference 15

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Observation 885d8fba-b2aa-45f2-9450-096c9e64e70c · outbound

This paper cites Holomorphic one-forms, fibrations over the circle, and characteristic numbers of K¨ahler manifolds.Math.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Holomorphic one-forms, fibrations over the circle, and characteristic numbers of K¨ahler manifolds.Math

Reference 16

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Observation 323c169c-0fee-4fd5-a315-1232c1ea9a84 · outbound

This paper cites I, volume 48 ofResults in Mathematics and Related Areas.

Geometry of Holomorphic One-forms on Smooth Projective Varieties I, volume 48 ofResults in Mathematics and Related Areas

Reference 17

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Observation e5e31e94-8d40-4651-8e4c-5a5f77a74258 · outbound

This paper cites an unresolved cited work.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Unresolved cited work

Reference 18

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Observation ba9e510a-b8d8-4c65-8139-dd4cf3abba56 · outbound

This paper cites Holomorphic forms on threefolds.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Holomorphic forms on threefolds

Reference 19

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Observation 43f31bd9-8086-45c8-b8d3-21172d255103 · outbound

This paper cites Holomorphic 1-forms without zeros on K\"ahler threefolds.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Holomorphic 1-forms without zeros on K\"ahler threefolds

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-02T22:27:25.383804Z

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Observation 1eedf837-bd46-40fa-991b-84b78f2b3aeb · outbound

This paper cites Kodaira dimension and zeros of holomorphic one-forms.Ann.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Kodaira dimension and zeros of holomorphic one-forms.Ann

Reference 21

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Observation 9b4f098c-174e-4fcc-bd79-d0794268cad1 · outbound

This paper cites The structure of Gauss-like maps.Compositio Math., 52(2):171–177, 1984.

Geometry of Holomorphic One-forms on Smooth Projective Varieties The structure of Gauss-like maps.Compositio Math., 52(2):171–177, 1984

Reference 22

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Observation 8f84dd1a-3334-4c21-bf1b-b53a63d3b95b · outbound

This paper cites Quelques remarques sur la g´ eom´ etrie des espaces conormaux.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Quelques remarques sur la g´ eom´ etrie des espaces conormaux

Reference 23

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Observation 2380114d-d48d-4b3a-bfd8-e5532ac5f46a · outbound

This paper cites Zeros of holomorphic one-forms and topology of K ¨ahler manifolds.Int.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Zeros of holomorphic one-forms and topology of K ¨ahler manifolds.Int

Reference 24

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Observation 4e567485-734f-4a52-b446-e16b18cfccf5 · outbound

This paper cites Zeros of one-forms and homologically trivial fibrations.Michigan Mathematical Journal, 75(5):917–926, 2025.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Zeros of one-forms and homologically trivial fibrations.Michigan Mathematical Journal, 75(5):917–926, 2025

Reference 25

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Observation 6c8c7820-f29d-48cd-b8f8-78cf95bfea87 · outbound

This paper cites Subspaces of moduli spaces of rank one local systems.Annales scientifiques de l’ ´Ecole Normale Sup´ erieure, Ser.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Subspaces of moduli spaces of rank one local systems.Annales scientifiques de l’ ´Ecole Normale Sup´ erieure, Ser

Reference 26

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Observation 89e11c37-01ba-41c6-b9e8-5302d27773a6 · outbound

This paper cites an unresolved cited work.

Geometry of Holomorphic One-forms on Smooth Projective Varieties Unresolved cited work

Reference 27

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Observation ef8ffec7-b4c9-4cb8-b7ea-4f95a19e4391 · outbound

This paper cites 439 ofLecture Notes in Mathematics.

Geometry of Holomorphic One-forms on Smooth Projective Varieties 439 ofLecture Notes in Mathematics

Reference 28

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Observation 6570d6db-b1ea-44b6-b833-aab5d6480449 · outbound

This paper cites An example with non-linear special locus in the space of holomorphic one-forms.to appear in Chinese Annals of Mathematics, Series B., 2025.

Geometry of Holomorphic One-forms on Smooth Projective Varieties An example with non-linear special locus in the space of holomorphic one-forms.to appear in Chinese Annals of Mathematics, Series B., 2025

Reference 29

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Observation 397315a2-a6fa-4590-a5c2-b7d4e81a378c · outbound

This paper cites On the purity of the branch locus of algebraic functions.Proc.

Geometry of Holomorphic One-forms on Smooth Projective Varieties On the purity of the branch locus of algebraic functions.Proc

Reference 30

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Pith citing papers

Observation 7bfb6499-7621-4c77-9412-346ff974c703 · inbound

Homology fiber bundles of varieties, that are not topological fiber bundles cites this paper.

Homology fiber bundles of varieties, that are not topological fiber bundles Geometry of Holomorphic One-forms on Smooth Projective Varieties

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-07-11T05:17:51.894956Z

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Observation db490f77-c305-432f-884a-6af127c817c5 · inbound

Zeros of one-forms and the topology of algebraic maps cites this paper.

Zeros of one-forms and the topology of algebraic maps Geometry of Holomorphic One-forms on Smooth Projective Varieties

Reference 8

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Observation a022b969-7133-4b7a-8a5a-525521ff22d3 · inbound

Invisible singularities in complex algebraic geometry cites this paper.

Invisible singularities in complex algebraic geometry Geometry of Holomorphic One-forms on Smooth Projective Varieties

Reference 10

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