Root stack valuative criterion for good moduli spaces | Paper Citation Record

Observation d7e5ed1c-944e-4d0a-8d7a-8c156b0108d2 · outbound

This paper cites Moduli of fibered surface pairs from twisted stable maps.

Root stack valuative criterion for good moduli spaces Moduli of fibered surface pairs from twisted stable maps

Reference 1

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Observation fbe3b100-99e8-467b-ae50-f3d0857dc431 · outbound

This paper cites Moduli of boundary polarized Calabi-Yau pairs.

Root stack valuative criterion for good moduli spaces Moduli of boundary polarized Calabi-Yau pairs

Reference 2

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Observation 997ff8d0-dba7-458d-b0c1-8dfca2be774a · outbound

This paper cites Reductivity of the automorphism group of K -polystable F ano varieties.

Root stack valuative criterion for good moduli spaces Reductivity of the automorphism group of K -polystable F ano varieties

Reference 3

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Observation 8e4f68b6-b747-4313-9358-785f7c1f2457 · outbound

This paper cites On brauer groups of tame stacks, 2024.

Root stack valuative criterion for good moduli spaces On brauer groups of tame stacks, 2024

Reference 4

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Observation 8f0c7076-9713-46ba-88de-ed9913f49c3c · outbound

This paper cites Twisted bundles and admissible covers.

Root stack valuative criterion for good moduli spaces Twisted bundles and admissible covers

Reference 5

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Observation 124f2a40-6475-4dea-9e79-5a25067c57b7 · outbound

This paper cites Stable varieties with a twist.

Root stack valuative criterion for good moduli spaces Stable varieties with a twist

Reference 6

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Observation ec6e059c-3e83-41fc-8a5f-4153e126e95f · outbound

This paper cites Artin algebraization for pairs with applications to the local structure of stacks and ferrand pushouts.

Root stack valuative criterion for good moduli spaces Artin algebraization for pairs with applications to the local structure of stacks and ferrand pushouts

Reference 7

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Observation 25bd871a-6cb6-4cb9-a03c-ead0e714a4fa · outbound

This paper cites Existence of moduli spaces for algebraic stacks.

Root stack valuative criterion for good moduli spaces Existence of moduli spaces for algebraic stacks

Reference 8

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Observation 461d0cad-4746-45d2-bae9-702b91fad92b · outbound

This paper cites The \'etale local structure of algebraic stacks.

Root stack valuative criterion for good moduli spaces The \'etale local structure of algebraic stacks

Reference 9

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Observation 47b6808b-3de3-4192-a38c-36b5e5a44920 · outbound

This paper cites Good moduli spaces for A rtin stacks.

Root stack valuative criterion for good moduli spaces Good moduli spaces for A rtin stacks

Reference 10

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Observation ff706f62-ff4b-4b85-945f-388a945fd265 · outbound

This paper cites Adequate moduli spaces and geometrically reductive group schemes.

Root stack valuative criterion for good moduli spaces Adequate moduli spaces and geometrically reductive group schemes

Reference 11

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Observation 986e10e6-d27c-4bd8-8ae9-8076abe980f8 · outbound

This paper cites Twisted stable maps to tame A rtin stacks.

Root stack valuative criterion for good moduli spaces Twisted stable maps to tame A rtin stacks

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:06.117012Z

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Observation c62ebcfb-71d5-46f6-b097-ddffda998241 · outbound

This paper cites Non-normal abelian covers.

Root stack valuative criterion for good moduli spaces Non-normal abelian covers

Reference 13

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Observation 3612d089-4888-43d3-bc53-1b247474c2a7 · outbound

This paper cites Compactifying the space of stable maps.

Root stack valuative criterion for good moduli spaces Compactifying the space of stable maps

Reference 14

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Observation 41e7fb3b-2f06-4612-9348-2357a4682418 · outbound

This paper cites Balaji, Kestutis C esnavi c ius, Elden Elmanto, Arnab Kundu, and Alex Youcis.

Root stack valuative criterion for good moduli spaces Balaji, Kestutis C esnavi c ius, Elden Elmanto, Arnab Kundu, and Alex Youcis

Reference 15

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Observation 8a3d79a4-086e-42e2-9d6d-b7440d652983 · outbound

This paper cites Proper splittings and projectivity for good moduli spaces.

Root stack valuative criterion for good moduli spaces Proper splittings and projectivity for good moduli spaces

Reference 16

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Observation 722ef899-29d8-4ffc-8bed-802eb7bc0d7e · outbound

This paper cites Cocharacter-closure and the rational H ilbert-- M umford theorem.

Root stack valuative criterion for good moduli spaces Cocharacter-closure and the rational H ilbert-- M umford theorem

Reference 17

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Observation ac7e633b-76cc-4742-bec1-804378786424 · outbound

This paper cites A primer on good moduli space gerbes.

Root stack valuative criterion for good moduli spaces A primer on good moduli space gerbes

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:06.066301Z

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Observation 002be494-b077-4f74-b2b7-dd8d4b925f40 · outbound

This paper cites Good moduli spaces for boundary polarized calabi-yau surface pairs, 2024.

Root stack valuative criterion for good moduli spaces Good moduli spaces for boundary polarized calabi-yau surface pairs, 2024

Reference 19

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Observation e048b0ea-3a41-422c-a63a-12afc92aece1 · outbound

This paper cites Openness of K -semistability for F ano varieties.

Root stack valuative criterion for good moduli spaces Openness of K -semistability for F ano varieties

Reference 20

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Observation 68ad1121-6999-4a8b-9146-c482856b42f9 · outbound

This paper cites Relative stability theory of properness of k-moduli.

Root stack valuative criterion for good moduli spaces Relative stability theory of properness of k-moduli

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.749593Z

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Observation b133a5b9-e017-4c80-80ae-8f9dc6567732 · outbound

This paper cites Linear algebraic groups , volume 126 of Graduate Texts in Mathematics.

Root stack valuative criterion for good moduli spaces Linear algebraic groups , volume 126 of Graduate Texts in Mathematics

Reference 22

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Observation a0f49fcb-8f4e-4789-89db-1b41fa02350c · outbound

This paper cites Height moduli on cyclotomic stacks and counting elliptic curves over function fields, 2024.

Root stack valuative criterion for good moduli spaces Height moduli on cyclotomic stacks and counting elliptic curves over function fields, 2024

Reference 23

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Observation df8569b5-55a5-4613-af23-df439a634bf2 · outbound

This paper cites Essential dimension of moduli of curves and other algebraic stacks.

Root stack valuative criterion for good moduli spaces Essential dimension of moduli of curves and other algebraic stacks

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.312865Z

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Observation 207a3bdc-33ba-468f-bbc2-e7f5d8355282 · outbound

This paper cites Balaji and C.

Root stack valuative criterion for good moduli spaces Balaji and C

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.128735Z

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Observation 33d212fe-7a8d-4d56-a050-3371e48ffc20 · outbound

This paper cites An arithmetic valuative criterion for proper maps of tame algebraic stacks.

Root stack valuative criterion for good moduli spaces An arithmetic valuative criterion for proper maps of tame algebraic stacks

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.090925Z

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Observation ae9b108e-46c2-4e36-b5f2-e28834dda32c · outbound

This paper cites Fields of moduli and the arithmetic of tame quotient singularities.

Root stack valuative criterion for good moduli spaces Fields of moduli and the arithmetic of tame quotient singularities

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.079099Z

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Observation edffb694-e245-4730-8beb-c9995a7cb967 · outbound

This paper cites Resolving g-torsors by abelian base extensions.

Root stack valuative criterion for good moduli spaces Resolving g-torsors by abelian base extensions

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.069396Z

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Observation 0be4dc20-351e-4d1f-87de-a248a6f6da6b · outbound

This paper cites Reduction of structure for torsors over semilocal rings.

Root stack valuative criterion for good moduli spaces Reduction of structure for torsors over semilocal rings

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.060300Z

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Observation 8f527257-9064-4024-bed9-0bfa202530d9 · outbound

This paper cites Reductive group schemes.

Root stack valuative criterion for good moduli spaces Reductive group schemes

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.049825Z

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Observation 549c8a66-d6a3-4a30-974d-17413a5e08e5 · outbound

This paper cites On equivariant bundles and their moduli spaces.

Root stack valuative criterion for good moduli spaces On equivariant bundles and their moduli spaces

Reference 31

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Observation 759869f0-0ad8-4fd7-b6d9-94d63b5ace21 · outbound

This paper cites S \'e minaire de g \'e om \'e trie alg \'e brique du bois marie 1962-64.

Root stack valuative criterion for good moduli spaces S \'e minaire de g \'e om \'e trie alg \'e brique du bois marie 1962-64

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.029515Z

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Observation b637d893-2333-428e-a3e6-273f2d458a9d · outbound

This paper cites Degenerations of twisted maps to algebraic stacks.

Root stack valuative criterion for good moduli spaces Degenerations of twisted maps to algebraic stacks

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:27:02.564640Z

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Observation 84813dc0-c526-499c-8526-c1cd5daaed02 · outbound

This paper cites Effective morphisms and quotient stacks.

Root stack valuative criterion for good moduli spaces Effective morphisms and quotient stacks

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.018449Z

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Observation 637071eb-2de9-4ff0-aa05-21b7f53e44b9 · outbound

This paper cites 2 -cohomologie galoisienne des groupes semi-simples d\' e finis sur les corps locaux.

Root stack valuative criterion for good moduli spaces 2 -cohomologie galoisienne des groupes semi-simples d\' e finis sur les corps locaux

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:05.008450Z

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Observation f039e6bc-31a8-4661-9f27-4af890ad8cca · outbound

This paper cites The Batyrev-Manin conjecture for DM stacks.

Root stack valuative criterion for good moduli spaces The Batyrev-Manin conjecture for DM stacks

Reference 36

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Observation 66eee39e-c872-4a51-a359-1a5126735dad · outbound

This paper cites Brauer groups and quotient stacks.

Root stack valuative criterion for good moduli spaces Brauer groups and quotient stacks

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.997778Z

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Observation 57941b19-822d-4b39-a061-7053ab9beb3a · outbound

This paper cites Canonical reduction of stabilizers for A rtin stacks with good moduli spaces.

Root stack valuative criterion for good moduli spaces Canonical reduction of stabilizers for A rtin stacks with good moduli spaces

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.988480Z

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Observation 5c1e356a-15bd-44d3-b728-fb0acd44c7a6 · outbound

This paper cites Ellenberg, Matthew Satriano, and David Zureick-Brown.

Root stack valuative criterion for good moduli spaces Ellenberg, Matthew Satriano, and David Zureick-Brown

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.978510Z

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Observation c90a8566-35a6-4484-9d53-bccb471f52a6 · outbound

This paper cites Soci\'et\'e Math\'ematique de France, Paris, 1992.

Root stack valuative criterion for good moduli spaces Soci\'et\'e Math\'ematique de France, Paris, 1992

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.968437Z

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Observation 999349e6-4ec0-487b-acc1-427c7c78b6e2 · outbound

This paper cites Loop torsors. Theory and applications.

Root stack valuative criterion for good moduli spaces Loop torsors. Theory and applications

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:27:02.417480Z

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Observation 05bd23eb-7c82-4473-9b2d-581ddeaeaf90 · outbound

This paper cites Cohomologie non ab\' e lienne; pr\' e liminaires.

Root stack valuative criterion for good moduli spaces Cohomologie non ab\' e lienne; pr\' e liminaires

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.957063Z

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Observation bb90867b-6b66-4601-b24d-28297d14667f · outbound

This paper cites Le groupe de B rauer.

Root stack valuative criterion for good moduli spaces Le groupe de B rauer

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T18:26:59.923900Z

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Observation 92f1d695-a220-436a-951c-cb27b2fff96b · outbound

This paper cites Twisted points of quotient stacks, integration and bps-invariants, 2025.

Root stack valuative criterion for good moduli spaces Twisted points of quotient stacks, integration and bps-invariants, 2025

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.938680Z

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Observation 7eefbbbd-6f5a-4b2a-ad74-50512a598e4d · outbound

This paper cites Mayer- V ietoris squares in algebraic geometry.

Root stack valuative criterion for good moduli spaces Mayer- V ietoris squares in algebraic geometry

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.929325Z

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Observation 5d1829f0-e41f-4f66-9d7e-46a8fbd71eee · outbound

This paper cites Resolution of indeterminacy of rational maps to proper tame stacks, 2025.

Root stack valuative criterion for good moduli spaces Resolution of indeterminacy of rational maps to proper tame stacks, 2025

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.919595Z

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Observation e4401404-3227-497f-aae3-034fed3b7ad1 · outbound

This paper cites Inversion of adjunction on log canonicity.

Root stack valuative criterion for good moduli spaces Inversion of adjunction on log canonicity

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.909512Z

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Observation 3a08bad2-d7e6-4a32-b9e4-1b5c7a59e79b · outbound

This paper cites Instability in invariant theory.

Root stack valuative criterion for good moduli spaces Instability in invariant theory

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.899626Z

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Observation c4bd823b-9ec6-4b24-878f-b57024f5fa25 · outbound

This paper cites Twisted sheaves and the period-index problem.

Root stack valuative criterion for good moduli spaces Twisted sheaves and the period-index problem

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-06T18:27:00.496523Z

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Observation 91d74e98-481c-4713-9f2d-afa406efd7b4 · outbound

This paper cites On the proper moduli spaces of smoothable K \"ahler- E instein F ano varieties.

Root stack valuative criterion for good moduli spaces On the proper moduli spaces of smoothable K \"ahler- E instein F ano varieties

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.880026Z

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Observation 5e0fc8ca-4aec-4780-aff8-59b4735b7f04 · outbound

This paper cites Finite generation for valuations computing stability thresholds and applications to k-stability.

Root stack valuative criterion for good moduli spaces Finite generation for valuations computing stability thresholds and applications to k-stability

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.868259Z

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Observation 8a538619-20cd-4120-b33a-c6df49fa080b · outbound

This paper cites an unresolved cited work.

Root stack valuative criterion for good moduli spaces Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:27:04.740934Z

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Observation d259ac5f-06e6-4db1-83c0-a6c41afaa46a · outbound

This paper cites Variations on a theme of G rothendieck, 2015.

Root stack valuative criterion for good moduli spaces Variations on a theme of G rothendieck, 2015

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.512057Z

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Observation 97ccae90-d22b-496e-b1d9-db75d6645638 · outbound

This paper cites The GIT stability of polarized varieties via discrepancy.

Root stack valuative criterion for good moduli spaces The GIT stability of polarized varieties via discrepancy

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-06T18:27:00.879563Z

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Observation f6d79ec3-44e1-466f-b52c-1b3503beb550 · outbound

This paper cites Algebraic spaces and stacks , volume 62.

Root stack valuative criterion for good moduli spaces Algebraic spaces and stacks , volume 62

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.313512Z

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Observation df742759-d726-40ab-ae67-ab1aa0b6b049 · outbound

This paper cites On tamely ramified G -bundles on curves.

Root stack valuative criterion for good moduli spaces On tamely ramified G -bundles on curves

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.219859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fb2d2101-ffc3-4ad2-8051-5d8863654dff · outbound

This paper cites Classification of singular fibers of hyperelliptic fibrations.

Root stack valuative criterion for good moduli spaces Classification of singular fibers of hyperelliptic fibrations

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:04.029242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation aa98c43b-ea81-4fce-b7da-15826798e2d3 · outbound

This paper cites The behavior of essential dimension under specialization.

Root stack valuative criterion for good moduli spaces The behavior of essential dimension under specialization

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:03.935507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3b53c226-a652-4181-9a9b-30f12cb2bb2b · outbound

This paper cites \'E tale d \'e vissage, descent and pushouts of stacks.

Root stack valuative criterion for good moduli spaces \'E tale d \'e vissage, descent and pushouts of stacks

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:03.769475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 151ef4d9-15ab-40ee-8fb2-123c0a941d8c · outbound

This paper cites Galois cohomology.

Root stack valuative criterion for good moduli spaces Galois cohomology

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:03.569443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c1f2a877-f47f-4ba4-813d-34db3acf95b6 · outbound

This paper cites Bounds for the orders of the finite subgroups of G(k).

Root stack valuative criterion for good moduli spaces Bounds for the orders of the finite subgroups of G(k)

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:27:02.237974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1047ee6a-f202-4aa9-81d5-8fa64a19f571 · outbound

This paper cites A nonabelian hodge correspondence for principal bundles in positive characteristic, 2024.

Root stack valuative criterion for good moduli spaces A nonabelian hodge correspondence for principal bundles in positive characteristic, 2024

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:03.380731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bad7991e-658d-467c-9104-dc2e40e4f0f1 · outbound

This paper cites The stacks project.

Root stack valuative criterion for good moduli spaces The stacks project

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:03.143039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 42616fb0-0564-49d6-a3f6-78aa8d3640e7 · outbound

This paper cites Beyond twisted maps: applications to motivic integration, 2024.

Root stack valuative criterion for good moduli spaces Beyond twisted maps: applications to motivic integration, 2024

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:27:02.911034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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