Paper Citation Record · LEDGER

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$

As of 9 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.21210.

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pith.paper-citation-record.v1
2506.21210 v1

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T22:57:16.475982Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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Reference resolution

32 of 32 outbound references displayed

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External citation measurements

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Outbound references

Observation a4331630-e7ec-4641-b98e-885c6421f046 · outbound

This paper cites Abramovich, M.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Abramovich, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:22.540048Z

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Observation e427f3c9-13c4-4cb0-9568-fcd53fc19bc7 · outbound

This paper cites Artin, Algebraic approximation of structures over complete local rings, Inst.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Artin, Algebraic approximation of structures over complete local rings, Inst

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:22.331212Z

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Observation df59c5de-c34c-4052-aeff-c0a9b1441d57 · outbound

This paper cites Artin, Coverings of the rational double points in characteristic p , Complex analysis and algebraic geometry, pp.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Artin, Coverings of the rational double points in characteristic p , Complex analysis and algebraic geometry, pp

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:22.159266Z

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Observation 9fabbe98-87bc-473a-8771-2d2eb8bf6f87 · outbound

This paper cites Bosch, W.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Bosch, W

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:22.011024Z

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Observation 76a5d655-bdb7-4081-b099-cce82248f3b8 · outbound

This paper cites ten komplexer Fl\.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ ten komplexer Fl\

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:21.874281Z

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Observation 5b0dee42-1f0d-46fc-aa25-08597cdcd1cc · outbound

This paper cites Chin, Crossed products of semisimple cocommutative Hopf algebras, Proc.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Chin, Crossed products of semisimple cocommutative Hopf algebras, Proc

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:21.699288Z

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Observation edcaf050-d5ff-4288-93c5-b53d3ea2afbc · outbound

This paper cites Conrad, Reductive group schemes, Autour des sch\'emas en groupes.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Conrad, Reductive group schemes, Autour des sch\'emas en groupes

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:21.554276Z

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Observation ccd893a7-b7ad-4c2f-8379-6a5a2a974335 · outbound

This paper cites Conrad, A non-free relative integral extension, notes available from https://kconrad.math.uconn.edu/blurbs/gradnumthy/notfree.pdf.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Conrad, A non-free relative integral extension, notes available from https://kconrad.math.uconn.edu/blurbs/gradnumthy/notfree.pdf

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:21.378655Z

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Observation 0e93bfdb-bd62-430a-afbc-607b3332481a · outbound

This paper cites Curtis, I.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Curtis, I

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:21.211274Z

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Observation 4dbfe892-7d60-4789-8d4c-d24c2a58ba64 · outbound

This paper cites Durfee, Fifteen characterizations of rational double points and simple critical points, Enseign.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Durfee, Fifteen characterizations of rational double points and simple critical points, Enseign

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:21.085189Z

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Observation 2e9d187e-5130-40b2-b3c0-13b5508fbcb5 · outbound

This paper cites Fontaine, Il n'y a pas de vari\'et\'e ab\'elienne sur Z, Invent.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Fontaine, Il n'y a pas de vari\'et\'e ab\'elienne sur Z, Invent

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:20.929843Z

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Observation 4f0e68c4-217f-4ba7-bfd0-be677a57f3d1 · outbound

This paper cites Fr\"ohlich, M.J.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Fr\"ohlich, M.J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:20.779122Z

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Observation 80e2ca2b-6648-4ff2-af3d-5181a4105784 · outbound

This paper cites Giraud, Cohomologie non ab\'elienne Die Grundlehren der mathematischen Wissenschaften 179, Springer (1971).

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Giraud, Cohomologie non ab\'elienne Die Grundlehren der mathematischen Wissenschaften 179, Springer (1971)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:20.594823Z

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Observation 2e670af9-0f4f-4522-82a1-561c6157c755 · outbound

This paper cites Hashimoto, Classification of the linearly reductive finite subgroup schemes of SL_2 , Acta Math.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Hashimoto, Classification of the linearly reductive finite subgroup schemes of SL_2 , Acta Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:20.422870Z

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Observation 3d6d94d8-4fb4-47f0-be18-dc8d9fbb8f9a · outbound

This paper cites On Noether's Degree Bound for Finite Group Schemes.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ On Noether's Degree Bound for Finite Group Schemes

Reference 15

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Observation 7297f38c-66e0-4abd-9991-5fd2e57ba52d · outbound

This paper cites uber das Ikosaeder und die Aufl\.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ uber das Ikosaeder und die Aufl\

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:20.253177Z

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Observation b803d115-68db-4e63-afaa-1351cbd47ecb · outbound

This paper cites Lang, Algebraic Number Theory, Second edition, Grad.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Lang, Algebraic Number Theory, Second edition, Grad

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:20.062286Z

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Observation 8c820a29-7fa4-4f09-9bd0-2637ef3860df · outbound

This paper cites Liedtke, A McKay Correspondence in Positive Characteristic, Forum Math.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Liedtke, A McKay Correspondence in Positive Characteristic, Forum Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:19.722572Z

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Observation 89410550-7606-4914-a41b-616c3a3ae86d · outbound

This paper cites Liedtke, G.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Liedtke, G

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T22:57:16.361046Z

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Observation d9bd2770-9921-4307-b8fd-98ee823b251f · outbound

This paper cites Liedtke, M.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Liedtke, M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:19.426810Z

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Observation 84b332bf-49b7-4102-9152-507af79c645a · outbound

This paper cites On rational double points over nonclosed fields.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ On rational double points over nonclosed fields

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T22:57:16.367634Z

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Unavailable: canonical work link unavailable.

Observation 6f61bf91-b5ee-40f5-924b-77ec941ff89f · outbound

This paper cites Lipman, Rational singularities, with applications to algebraic surfaces and unique factorization, Inst.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Lipman, Rational singularities, with applications to algebraic surfaces and unique factorization, Inst

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:19.188156Z

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Observation 3eb2910c-90ad-41c6-ace1-158cf4d7b0f0 · outbound

This paper cites Milne, \'Etale Cohomology, PMS-33, Princeton University Press (1980).

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Milne, \'Etale Cohomology, PMS-33, Princeton University Press (1980)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:18.893748Z

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Observation feb1558e-5f9e-4bf2-8ae8-367971a04a5e · outbound

This paper cites Nagata, Complete reducibility of rational representations of a matric group, J.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Nagata, Complete reducibility of rational representations of a matric group, J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:18.677430Z

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Observation 79d5d8f9-2e12-4f7d-b89b-977401dbb8e8 · outbound

This paper cites Neukirch, Algebraic number theory, Grundlehren Math.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Neukirch, Algebraic number theory, Grundlehren Math

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:18.381053Z

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Observation 59b14d88-25fa-43ca-b6f1-9ae11f8013eb · outbound

This paper cites Noether, Der Endlichkeitssatz der Invarianten endlicher Gruppen, Math.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Noether, Der Endlichkeitssatz der Invarianten endlicher Gruppen, Math

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:18.201281Z

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Observation 4e7aa079-b821-426e-9b1c-56fab0e116a8 · outbound

This paper cites an unresolved cited work.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Unresolved cited work

Reference 27

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Observation 07b9f0f9-9bd6-468d-bfe6-0b366a6c326e · outbound

This paper cites Satriano, The Chevalley--Shephard--Todd theorem for finite linearly reductive group schemes, Algebra Number Theory 6 (2012), no.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Satriano, The Chevalley--Shephard--Todd theorem for finite linearly reductive group schemes, Algebra Number Theory 6 (2012), no

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:17.765161Z

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Observation 972dc820-125d-49a8-bf1f-5fe520721f0b · outbound

This paper cites Serre, Galois Cohomology, Corrected reprint of the 1997 English edition, Springer Monogr.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Serre, Galois Cohomology, Corrected reprint of the 1997 English edition, Springer Monogr

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:17.597471Z

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Observation 1c3cfec2-6fb9-4fec-83f5-1a6b077a203b · outbound

This paper cites Steinitz, Rechteckige Systeme und Moduln in algebraischen Zahlk\"orpern.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Steinitz, Rechteckige Systeme und Moduln in algebraischen Zahlk\"orpern

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:17.417523Z

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Observation 5aa1a514-8f8e-4206-90e5-5dce3dad7292 · outbound

This paper cites Waterhouse, Introduction to Affine Group Schemes,.

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Waterhouse, Introduction to Affine Group Schemes,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:57:17.142488Z

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Observation 074b90cd-5535-4ead-b85a-aaa92a29cd89 · outbound

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An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:57:16.988540Z

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