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Paper Citation Record · LEDGER

The Tate conjecture for surfaces of geometric genus one -- embracing singularities

As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2501.18541.

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

pith.paper-citation-record.v1
2501.18541 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T23:23:48.619689Z

measured 28 of 28 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

28 of 28 outbound references displayed

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Outbound references

Observation 557d5e6d-df17-4c31-b45d-d13061170d63 · outbound

This paper cites On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic

Reference 1

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Observation c50a3994-4fa0-45db-89a6-6566cad98d12 · outbound

This paper cites On a stratification of the moduli ofK3 surfaces.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities On a stratification of the moduli ofK3 surfaces

Reference 3

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Observation 2aebf229-e1cb-4d27-b4e5-17fed3edae94 · outbound

This paper cites Reduction and lifting of finite covers of curves.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Reduction and lifting of finite covers of curves

Reference 6

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Observation ddb9635d-9458-47d9-876e-a9733c919eea · outbound

This paper cites Pointwise criteria of p-adic local systems.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Pointwise criteria of p-adic local systems

Reference 13

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Observation 399f2aa7-d6af-446f-a481-874c124a098d · outbound

This paper cites Eisenbud and J.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Eisenbud and J

Reference 19

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Observation a2ee42cc-fedb-4cfc-89de-11bfeb117d97 · outbound

This paper cites Integralp-adic Hodge theory.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Integralp-adic Hodge theory

Reference 21

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Observation 600508dc-8fa4-48b1-9ad0-babdc285b643 · outbound

This paper cites Monodromy of variations of Hodge structure.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Monodromy of variations of Hodge structure

Reference 23

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Observation 4b4be62b-78ee-4f89-9584-3f2b5498dbc2 · outbound

This paper cites Purity results forp-divisible groups and abelian schemes over regular bases of mixed characteristic.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Purity results forp-divisible groups and abelian schemes over regular bases of mixed characteristic

Reference 26

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Observation e67076d3-b0f4-4c08-a5dd-ad1f296a9c81 · outbound

This paper cites Surfaces ofK3 type over number fields and the Mumford-Tate conjecture.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Surfaces ofK3 type over number fields and the Mumford-Tate conjecture

Reference 27

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Observation 9b4ac8f7-9ca6-4549-a20d-da0798d9b35b · outbound

This paper cites an unresolved cited work.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Unresolved cited work

Reference 55

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Observation d34677ba-4d1b-4c7d-a095-189d73acb523 · outbound

This paper cites Hom -stacks and restriction of scalars.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Hom -stacks and restriction of scalars

Reference 64

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Observation 48f58577-e0ed-4b40-ae72-a84ee2ce6f5f · outbound

This paper cites Complexe de de Rham-Witt et cohomologie cristalline.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Complexe de de Rham-Witt et cohomologie cristalline

Reference 70

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Observation 0abe299e-0c39-4e98-a574-740e13d2bda0 · outbound

This paper cites The effect of height on degenerations of algebraicK3 surfaces.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities The effect of height on degenerations of algebraicK3 surfaces

Reference 75

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This paper cites The moduli and the global period mapping of surfaces withK 2 =p g =1: a counterexample to the global Torelli problem.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities The moduli and the global period mapping of surfaces withK 2 =p g =1: a counterexample to the global Torelli problem

Reference 76

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Observation 64bf3d01-7d82-4bba-b4f5-41891858f9af · outbound

This paper cites Weyl group covers for Brieskorn’s resolutions in all characteristics and the integral cohomology ofG/P.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Weyl group covers for Brieskorn’s resolutions in all characteristics and the integral cohomology ofG/P

Reference 77

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Observation e38d3d99-45ce-444d-b1e9-4daff4306719 · outbound

This paper cites With the collaboration of C.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities With the collaboration of C

Reference 134

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Observation e7041ad6-9df5-4b7f-a979-545a15f397dc · outbound

This paper cites p-adic Hodge theory for rigid-analytic varieties.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities p-adic Hodge theory for rigid-analytic varieties

Reference 192

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Observation f93189e2-dbf8-4c66-9b97-52bc06d3edc8 · outbound

This paper cites Springer-Verlag, Berlin-New York, 1971, pp.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Springer-Verlag, Berlin-New York, 1971, pp

Reference 224

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Observation 6ada48b5-e750-4969-8278-0c750d6058c5 · outbound

This paper cites Algebraic construction of Brieskorn’s resolutions.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Algebraic construction of Brieskorn’s resolutions

Reference 282

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Observation c13675df-647c-4bef-b134-af262afb311c · outbound

This paper cites Notes on isocrystals.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Notes on isocrystals

Reference 423

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Observation 4db595dd-e780-469b-bd4e-451346cbdbc2 · outbound

This paper cites Liu.sections of the cotangent bundle of elliptic surfaces.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Liu.sections of the cotangent bundle of elliptic surfaces

Reference 741

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Observation 3dd2d21e-7380-40dc-b6f7-c8616e5556ee · outbound

This paper cites On the Shafarevich and Tate conjectures for hyper-Kähler varieties.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities On the Shafarevich and Tate conjectures for hyper-Kähler varieties

Reference 1971

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Observation 0b0706ae-4ec5-4565-9220-3a75cc3f166b · outbound

This paper cites La conjecture de Weil pour les surfacesK3.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities La conjecture de Weil pour les surfacesK3

Reference 2005

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Observation df2d99d6-ab3a-4efd-9d3a-4554ac32c6ba · outbound

This paper cites On a conjecture of Artin and Tate.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities On a conjecture of Artin and Tate

Reference 2013

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Observation a1582943-554b-4bc9-ba8f-b07d8d4791ed · outbound

This paper cites Unpolarized Shafarevich conjectures for hyper-K\"ahler varieties.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Unpolarized Shafarevich conjectures for hyper-K\"ahler varieties

Reference 2022

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Observation 63510a76-f759-41d0-a11c-ec3127dd2554 · outbound

This paper cites On simple singularities and Weyl monodromy actions in mixed characteristic.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities On simple singularities and Weyl monodromy actions in mixed characteristic

Reference 2023

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Observation c64e16fb-9f19-43b6-9f19-20c1df7e5319 · outbound

This paper cites Algebraization and Tannaka duality.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities Algebraization and Tannaka duality

Reference 2024

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Observation 446942d6-f8d5-4e98-94d7-66a5b00c5c50 · outbound

This paper cites On the Tate conjecture for divisors on varieties with $h^{2,0} = 1$ in positive characteristics.

The Tate conjecture for surfaces of geometric genus one -- embracing singularities On the Tate conjecture for divisors on varieties with $h^{2,0} = 1$ in positive characteristics

Reference 2025

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