Paper Citation Record · LEDGER

Iwasawa Theory for K3 Surfaces over Finite Fields

As of 12 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2606.25737.

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

pith.paper-citation-record.v1
2606.25737 v2

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T10:28:45.154747Z

measured 32 of 32 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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measured 0 of 1 external citation measurements

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Reference resolution

32 of 32 outbound references displayed

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Outbound references

Observation 909c45f5-9941-4f59-b6a1-3287978735ac · outbound

This paper cites an unresolved cited work.

Iwasawa Theory for K3 Surfaces over Finite Fields Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:42.594918Z

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Unavailable: canonical work link unavailable.

Observation ecacde35-2aa4-4c04-b769-440352d9ef14 · outbound

This paper cites Ferrero and L.

Iwasawa Theory for K3 Surfaces over Finite Fields Ferrero and L

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:42.729178Z

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Observation 64eb02d9-1cff-4a7b-9eb0-7b51e180d563 · outbound

This paper cites Greenberg, Iwasawa Theory for elliptic curves , Lecture Notes in Math.

Iwasawa Theory for K3 Surfaces over Finite Fields Greenberg, Iwasawa Theory for elliptic curves , Lecture Notes in Math

Reference 3

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Observation cc522b00-7d77-473c-9a35-e9005eefc15f · outbound

This paper cites Grothendieck, et al., SGA 4 (with M.

Iwasawa Theory for K3 Surfaces over Finite Fields Grothendieck, et al., SGA 4 (with M

Reference 4

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Observation 1bede7db-5f59-4e92-a1c8-ff670f3804e9 · outbound

This paper cites Grothendieck, Le groupe de Brauer.

Iwasawa Theory for K3 Surfaces over Finite Fields Grothendieck, Le groupe de Brauer

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:43.015706Z

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Observation d97a6e4d-5517-429f-87f5-df37227c5258 · outbound

This paper cites Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, vol.

Iwasawa Theory for K3 Surfaces over Finite Fields Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, vol

Reference 6

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Observation c2786f9b-d276-4c03-b6a5-a0b21bbacb6f · outbound

This paper cites Huybrechts, Lectures on K3 surfaces , volume 158 of Cambridge Studies in Advanced Mathematics.

Iwasawa Theory for K3 Surfaces over Finite Fields Huybrechts, Lectures on K3 surfaces , volume 158 of Cambridge Studies in Advanced Mathematics

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:43.149532Z

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Observation a97222d7-fd92-4371-9a72-86c7a6bf3a8c · outbound

This paper cites Iwasawa, On Γ-extensions of algebraic number ﬁelds , Bull.

Iwasawa Theory for K3 Surfaces over Finite Fields Iwasawa, On Γ-extensions of algebraic number ﬁelds , Bull

Reference 8

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Observation 479b6c12-b252-496a-8ca0-53273cedf793 · outbound

This paper cites Iwasawa, On the µ-invariants of Zl-extensions, Number theory, algebraic geometry and commutative algebra, in honor of Yasuo Akizuki, 1–11, 1973.

Iwasawa Theory for K3 Surfaces over Finite Fields Iwasawa, On the µ-invariants of Zl-extensions, Number theory, algebraic geometry and commutative algebra, in honor of Yasuo Akizuki, 1–11, 1973

Reference 9

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Observation 535dfd70-72f5-4e5e-8ba3-6cbb3bb9c0c7 · outbound

This paper cites Kato, p-adic Hodge theory and values of zeta functions of modular fo rms, Astérisque, 295, 117–290, 2004.

Iwasawa Theory for K3 Surfaces over Finite Fields Kato, p-adic Hodge theory and values of zeta functions of modular fo rms, Astérisque, 295, 117–290, 2004

Reference 10

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Observation 20290569-5ba5-471d-b687-99d82e737169 · outbound

This paper cites Kim and K.

Iwasawa Theory for K3 Surfaces over Finite Fields Kim and K

Reference 11

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Observation eca653f2-36e6-430c-b95f-ab4ce1c44cfa · outbound

This paper cites an unresolved cited work.

Iwasawa Theory for K3 Surfaces over Finite Fields Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:43.678947Z

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Observation 7b30a4ba-d198-469e-a4e0-dd5164d937ad · outbound

This paper cites The L-functions and mo dular forms database.

Iwasawa Theory for K3 Surfaces over Finite Fields The L-functions and mo dular forms database

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:43.753130Z

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Observation 9d19d566-efdd-4322-84bf-fa75ac897e7c · outbound

This paper cites Madapusi Pera, The Tate conjecture for K3 surfaces in odd characteristic , Invent.

Iwasawa Theory for K3 Surfaces over Finite Fields Madapusi Pera, The Tate conjecture for K3 surfaces in odd characteristic , Invent

Reference 14

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Observation 41e0e31c-62ba-415e-b56f-9329db4f021d · outbound

This paper cites Matsumura, Commutative Algebra, second edition, The Benjamin/Cummings Publishing Compan y, Inc., 1980.

Iwasawa Theory for K3 Surfaces over Finite Fields Matsumura, Commutative Algebra, second edition, The Benjamin/Cummings Publishing Compan y, Inc., 1980

Reference 15

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Observation d6a228c2-fd02-4f5b-b6ce-c708a3f78cde · outbound

This paper cites Mazur, Rational Points of Abelian Varieties with Values in Towers o f Number Fields , Invent.

Iwasawa Theory for K3 Surfaces over Finite Fields Mazur, Rational Points of Abelian Varieties with Values in Towers o f Number Fields , Invent

Reference 16

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Observation 86baccc0-70cf-4bc5-b2e9-3f2fbea40bf4 · outbound

This paper cites Mazur and P.

Iwasawa Theory for K3 Surfaces over Finite Fields Mazur and P

Reference 17

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Observation 96ee109a-70fc-4119-96a3-85afbf7dc1ed · outbound

This paper cites Mazur and A.

Iwasawa Theory for K3 Surfaces over Finite Fields Mazur and A

Reference 18

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Observation 3743928a-e4c8-4b36-a84d-6008301a2df1 · outbound

This paper cites an unresolved cited work.

Iwasawa Theory for K3 Surfaces over Finite Fields Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:44.369348Z

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Observation 54f7b0b6-b780-42a3-803d-96853d32bce1 · outbound

This paper cites an unresolved cited work.

Iwasawa Theory for K3 Surfaces over Finite Fields Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:44.442432Z

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Observation 4cc7123a-bc21-46b9-86f8-caf0f46b951d · outbound

This paper cites Neukirch, A.

Iwasawa Theory for K3 Surfaces over Finite Fields Neukirch, A

Reference 21

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Observation 05cc88be-b3e0-40ae-95ea-569fd0f39564 · outbound

This paper cites Ochiai, Iwasawa Theory and its perspective I , Iwanami Studies in Advanced Mathematics, Iwanami Shoten, 2014.

Iwasawa Theory for K3 Surfaces over Finite Fields Ochiai, Iwasawa Theory and its perspective I , Iwanami Studies in Advanced Mathematics, Iwanami Shoten, 2014

Reference 22

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Observation 84f26e1e-d12a-43c3-92ee-0f91368eb71a · outbound

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Iwasawa Theory for K3 Surfaces over Finite Fields Unresolved cited work

Reference 23

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Observation dc00ce02-024a-47a7-a1fe-d3b6309fff2d · outbound

This paper cites main conjectures.

Iwasawa Theory for K3 Surfaces over Finite Fields main conjectures

Reference 24

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Observation f8b9e9d5-6b90-43fb-b8d1-5eb9897417f8 · outbound

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Iwasawa Theory for K3 Surfaces over Finite Fields Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:44.709969Z

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Observation f1863264-4720-45ff-99d3-92b32d00a82d · outbound

This paper cites an unresolved cited work.

Iwasawa Theory for K3 Surfaces over Finite Fields Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:44.739928Z

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Observation b7696929-00e3-4c73-b27a-1e81b0b21265 · outbound

This paper cites Skinner and E.

Iwasawa Theory for K3 Surfaces over Finite Fields Skinner and E

Reference 27

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Observation 3a5c718f-3469-44bc-8169-b51022280622 · outbound

This paper cites an unresolved cited work.

Iwasawa Theory for K3 Surfaces over Finite Fields Unresolved cited work

Reference 28

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Observation 3553ab21-bb18-425b-979c-1542caa1135b · outbound

This paper cites Tate, On the conjectures of Birch and Swinnerton-Dyer and a geomet ric analog , Séminaire Bourbaki, Exposé 306, 1964/1966.

Iwasawa Theory for K3 Surfaces over Finite Fields Tate, On the conjectures of Birch and Swinnerton-Dyer and a geomet ric analog , Séminaire Bourbaki, Exposé 306, 1964/1966

Reference 29

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Observation 457b80d9-1594-44ae-9810-a52cf8049ee5 · outbound

This paper cites Tateno and J.

Iwasawa Theory for K3 Surfaces over Finite Fields Tateno and J

Reference 30

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Observation d55507de-40c9-4d95-9a5b-4ad345b9713b · outbound

This paper cites an unresolved cited work.

Iwasawa Theory for K3 Surfaces over Finite Fields Unresolved cited work

Reference 31

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Observation a3e9c0de-7ec4-4b1e-b37d-df733766bf6d · outbound

This paper cites Wiles, The Iwasawa conjecture for totally real ﬁelds , Ann.

Iwasawa Theory for K3 Surfaces over Finite Fields Wiles, The Iwasawa conjecture for totally real ﬁelds , Ann

Reference 32

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