Paper Citation Record · LEDGER

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields

As of 13 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2512.22614.

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pith.paper-citation-record.v1
2512.22614 v2

Coverage vector

measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-05-16T19:23:25.122624Z

measured 34 of 34 standing notices

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

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Reference resolution

34 of 34 outbound references displayed

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External citation measurements

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Outbound references

Observation 4fd73e2e-b06d-483e-8099-11ca03657f9f · outbound

This paper cites Unique factorization in regular local rings.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Unique factorization in regular local rings

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.831555Z

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Observation a876d605-b89a-4ced-b612-d97387d19a5f · outbound

This paper cites Rudolf Beyl.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Rudolf Beyl

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.833607Z

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Observation 1218c8e4-c069-4994-9d55-31c9c268fd3b · outbound

This paper cites Extensions of abelian sheaves and Eilenberg-MacLane algebras.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Extensions of abelian sheaves and Eilenberg-MacLane algebras

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.835587Z

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Observation 06544f88-b88a-47c2-ae3c-7fcbe4bc589e · outbound

This paper cites Some structure theorems for algebraic groups.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Some structure theorems for algebraic groups

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.789720Z

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Observation c689ab3a-b303-480e-9ae9-76d4ca190e69 · outbound

This paper cites Which algebraic groups are Picard varieties?.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Which algebraic groups are Picard varieties?

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.785328Z

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Observation 612e90c7-9a55-4838-b23e-966c8055ba2b · outbound

This paper cites Duality for Commutative Group Stacks.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Duality for Commutative Group Stacks

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.781199Z

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Observation 67a81567-b35e-4156-ba51-dfb20d8ef613 · outbound

This paper cites General Topology: Chapters 1–4.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields General Topology: Chapters 1–4

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.809979Z

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Observation eea0cc36-8b19-4b52-9a79-8fe354585c3f · outbound

This paper cites Sur les extensions des groupes topologiques.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Sur les extensions des groupes topologiques

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.791716Z

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Observation 5fd345c3-b57a-4e8c-9a0d-1ca46f56c3eb · outbound

This paper cites La descente sur les variétés rationnelles, II.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields La descente sur les variétés rationnelles, II

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.825700Z

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Observation 527e50c9-69b8-48b5-b137-59affd8be13a · outbound

This paper cites Skorobogatov.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Skorobogatov

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.827449Z

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Observation 44933440-7afb-46c3-8115-2e163a0fe434 · outbound

This paper cites Weil and Grothendieck approaches to adelic points.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Weil and Grothendieck approaches to adelic points

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.821902Z

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Observation e7371b57-cff6-449c-98e3-827718fb7f34 · outbound

This paper cites Metric Geometry of Locally Compact Groups.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Metric Geometry of Locally Compact Groups

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.806048Z

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Observation 0410a32e-e101-4786-bc0c-7e4b7292e11a · outbound

This paper cites Topology on cohomology of local fields.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Topology on cohomology of local fields

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.779072Z

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Observation 9fc29547-9111-4e7c-9e33-1c1918979155 · outbound

This paper cites Fundamental Algebraic Geometry (Grothendieck's FGA explained).

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Fundamental Algebraic Geometry (Grothendieck's FGA explained)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.813983Z

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Observation 42deb616-b697-4815-a914-ba96d52e18bf · outbound

This paper cites Fulp and Phillip A.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Fulp and Phillip A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.818024Z

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Observation 3263c7b1-e1a2-41ac-8a4e-60714122ca0e · outbound

This paper cites Local duality theorems for commutative algebraic groups.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Local duality theorems for commutative algebraic groups

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-16T19:28:20.905913Z

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Observation 772b2325-a3f9-4c0f-8645-d38357de47d2 · outbound

This paper cites The units-Picard complex and the Brauer group of a product.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields The units-Picard complex and the Brauer group of a product

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.783213Z

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Observation c2f6c155-b58e-47e6-9c37-c2a0688b1839 · outbound

This paper cites Éléments de Géométrie Algébrique IV.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Éléments de Géométrie Algébrique IV

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.823812Z

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Observation 41e5ff5c-8647-49ec-b51c-fa566491682c · outbound

This paper cites Galois cohomology and class field theory.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Galois cohomology and class field theory

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.794035Z

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Observation bd4b51bd-5983-43c0-8f08-39ef74833474 · outbound

This paper cites Arithmetic duality theorems for 1-motives.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Arithmetic duality theorems for 1-motives

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.787451Z

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Observation f21fd75c-1912-4718-82e8-83a2fbd791e8 · outbound

This paper cites Categories and Sheaves Springer-Verlag, Berlin.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Categories and Sheaves Springer-Verlag, Berlin

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.808069Z

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Observation e1d7e391-e89e-46a0-afc6-2fb10a9e2e27 · outbound

This paper cites Duality theorems for curves over p -adic fields.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Duality theorems for curves over p -adic fields

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.816005Z

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Observation 26c903f3-8979-49c2-8397-32bbcd09162c · outbound

This paper cites Arithmetic Duality Theorems (Second Edition).

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Arithmetic Duality Theorems (Second Edition)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.796201Z

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Observation 19e47b79-ed8e-43c4-aa0d-81463498a3c8 · outbound

This paper cites Étale cohomology.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Étale cohomology

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.829405Z

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Observation 12247131-277f-48da-b4bb-cde8d35a049e · outbound

This paper cites Duality of Albanese and Picard 1‐motives.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Duality of Albanese and Picard 1‐motives

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.773937Z

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Observation 30ba99e2-451f-4176-a0ce-a23a6b0fd6a4 · outbound

This paper cites Profinite Groups.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Profinite Groups

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.811819Z

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Observation 60eb6f0c-2041-4340-afa5-02e723e66f75 · outbound

This paper cites Topologies on abelian groups and a topological five-lemma.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Topologies on abelian groups and a topological five-lemma

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-16T19:28:20.909744Z

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Observation 01bd965a-df19-43aa-9c85-f767701232a0 · outbound

This paper cites Tate Duality In Positive Dimension Over Function Fields.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Tate Duality In Positive Dimension Over Function Fields

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-16T19:28:20.917709Z

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Observation 4376f39f-558b-4a3a-aecb-a1d6dd11b9d2 · outbound

This paper cites Extensions of Abelian Schemes and the Additive Group.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Extensions of Abelian Schemes and the Additive Group

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-07-29T01:25:27.958721Z

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Observation e0231ed0-83d1-4bec-b637-44bd49b5670c · outbound

This paper cites Cohomologie galoisiene (Second edition).

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Cohomologie galoisiene (Second edition)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.776890Z

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Observation 547bdfab-7822-4e33-9db2-3e3f332d22af · outbound

This paper cites an unresolved cited work.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-05-16T19:43:21.771399Z

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Observation 20bcc9f1-f3b2-47bd-88da-b848ac307f89 · outbound

This paper cites https://stacks.math.columbia.edu.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields https://stacks.math.columbia.edu

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.819866Z

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Observation 617075dd-07f0-4e3c-be9a-0de13b614091 · outbound

This paper cites Locally compact groups.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Locally compact groups

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.798179Z

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Observation 7b18b175-bc6d-4f6f-9088-56b66e274169 · outbound

This paper cites Lichtenbaum-Tate duality for varieties over p -adic fields.

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields Lichtenbaum-Tate duality for varieties over p -adic fields

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T19:43:21.803961Z

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