Paper Citation Record · LEDGER

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds

As of 13 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2512.13269.

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pith.paper-citation-record.v1
2512.13269 v4

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measured 46 of 46 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T16:33:47.231042Z

measured 47 of 47 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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Source: paper_references, paper_reference_links, observed 2026-07-03T04:56:57.910771Z

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Source: pith, observed 2026-07-03T04:57:37.887305Z

Reference resolution

46 of 46 outbound references displayed

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Outbound references

Observation e1367cb0-c534-49ce-9c10-c84cde3dfe3a · outbound

This paper cites Good moduli spaces for Artin stacks.Annales de l’institut Fourier (Grenoble), 63(6): 2349–2402, 2013.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Good moduli spaces for Artin stacks.Annales de l’institut Fourier (Grenoble), 63(6): 2349–2402, 2013

Reference 1

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Observation 5f565674-3fa6-4109-84ae-2b94f9e129ed · outbound

This paper cites Stability conditions in families.Publications math´ ematiques de l’IH ´ES, 133: 157-325, 2021.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Stability conditions in families.Publications math´ ematiques de l’IH ´ES, 133: 157-325, 2021

Reference 2

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Observation eae26a60-2bcd-462f-b25b-e67b83c9c6f7 · outbound

This paper cites Stability conditions on Kuznetsov components.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Stability conditions on Kuznetsov components

Reference 3

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Observation 8cde6733-20d2-46cb-8a15-aee78f79ee2f · outbound

This paper cites Projectivity and birational geometry of Bridgeland moduli spaces.Journal of the American Mathematical Society, 27(3): 707-752, 2014.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Projectivity and birational geometry of Bridgeland moduli spaces.Journal of the American Mathematical Society, 27(3): 707-752, 2014

Reference 4

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Observation de41af58-65ce-48b4-8f2d-876bd1e6da4f · outbound

This paper cites MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations.Inventiones mathematicae, 198(3): 505-590, 2014.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations.Inventiones mathematicae, 198(3): 505-590, 2014

Reference 5

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Observation 5fc7fa96-94f1-4119-81af-0f4ee3fa1afe · outbound

This paper cites The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds.Inventiones mathematicae, 206(3): 869–933, 2016.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds.Inventiones mathematicae, 206(3): 869–933, 2016

Reference 6

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Observation 81d7e1c2-9755-4481-b51d-6637648d8cf9 · outbound

This paper cites Kuznetsov’s Fano threefold conjecture via K3 categories and enhanced group actions.Journal f¨ ur die reine und angewandte Mathematik, 800: 107-153, 2023.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Kuznetsov’s Fano threefold conjecture via K3 categories and enhanced group actions.Journal f¨ ur die reine und angewandte Mathematik, 800: 107-153, 2023

Reference 7

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Observation 3436ee3d-3ba2-4653-9e9c-82dd40c01ff0 · outbound

This paper cites Double EPW sextics associated with Gushel–Mukai surfaces.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Double EPW sextics associated with Gushel–Mukai surfaces

Reference 8

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Observation ced7a48c-c453-4e56-b991-a5cbe0612e36 · outbound

This paper cites Stable sheaves on K3 surfaces via wall-crossing.Kyoto Journal of Mathematics, 64(2): 459-499, 2024.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Stable sheaves on K3 surfaces via wall-crossing.Kyoto Journal of Mathematics, 64(2): 459-499, 2024

Reference 9

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Observation 1d7f259c-9aac-4c6e-8382-050bfc7568c7 · outbound

This paper cites Stability conditions on triangulated categories.Annals of Mathematics, 166(2): 317-345, 2007.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Stability conditions on triangulated categories.Annals of Mathematics, 166(2): 317-345, 2007

Reference 10

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Observation 19279d09-a889-405a-ab4a-fea7c46616a6 · outbound

This paper cites Stability conditions onK3 surfaces.Duke Mathematical Journal, 141(2): 241-291, 2008.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Stability conditions onK3 surfaces.Duke Mathematical Journal, 141(2): 241-291, 2008

Reference 11

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Observation 823d805d-ff8d-4218-a031-4094ca53b5ac · outbound

This paper cites On the period map for prime Fano threefolds of degree 10.Journal of Algebraic Geometry, 21:21-59, 2012.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds On the period map for prime Fano threefolds of degree 10.Journal of Algebraic Geometry, 21:21-59, 2012

Reference 12

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Observation fbdda565-0d4f-435c-a3a5-54a7afc0ec8e · outbound

This paper cites Gushel–Mukai varieties: classification and birationalities.Algebraic Geometry, 5(1): 15-76, 2018.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Gushel–Mukai varieties: classification and birationalities.Algebraic Geometry, 5(1): 15-76, 2018

Reference 13

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Observation 74a999ae-d123-4733-ac14-31efdf455b61 · outbound

This paper cites Gushel–Mukai varieties: Linear spaces and periods.Kyoto Journal of Mathematics, 59(4): 897-953, 2019.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Gushel–Mukai varieties: Linear spaces and periods.Kyoto Journal of Mathematics, 59(4): 897-953, 2019

Reference 14

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Observation 665e04ad-b84c-4dc3-980b-7147cc16d146 · outbound

This paper cites Gushel–Mukai varieties: intermediate Jacobians.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Gushel–Mukai varieties: intermediate Jacobians

Reference 15

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Observation 7702cac8-25be-4ed2-8db8-14950e0c534d · outbound

This paper cites Gushel–Mukai varieties: Moduli.International Journal of Mathe- matics, 31(2): Nr.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Gushel–Mukai varieties: Moduli.International Journal of Mathe- matics, 31(2): Nr

Reference 16

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Observation 00f70868-5e73-45a9-b8b6-6d2041abf277 · outbound

This paper cites Double covers of quadratic degeneracy and Lagrangian intersection loci.Mathematische Annalen, 378(3-4): 1435-1469, 2020.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Double covers of quadratic degeneracy and Lagrangian intersection loci.Mathematische Annalen, 378(3-4): 1435-1469, 2020

Reference 17

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Observation 4983742d-14d4-4ed6-a089-2690b6d22a39 · outbound

This paper cites Quadrics on Gushel-Mukai varieties.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Quadrics on Gushel-Mukai varieties

Reference 18

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Observation fc9474ab-5f1a-4d2d-b2d8-0211a9e5132d · outbound

This paper cites On equivariant triangulated categories.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds On equivariant triangulated categories

Reference 19

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Observation 8e32a6cb-1ef6-4ac1-856c-2853af5fc848 · outbound

This paper cites Picard groups on moduli of K3 surfaces with Mukai models.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Picard groups on moduli of K3 surfaces with Mukai models

Reference 20

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Observation 8422b914-3a19-4afb-9a31-955c8a4161a4 · outbound

This paper cites Conics on Gushel–Mukai fourfolds, EPW sextics and Bridgeland moduli spaces.Mathematical Research Letters, 31(4): 1061-1106, 2024.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Conics on Gushel–Mukai fourfolds, EPW sextics and Bridgeland moduli spaces.Mathematical Research Letters, 31(4): 1061-1106, 2024

Reference 21

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Observation 422bb2df-b599-4a5f-ae5a-0f70e0c2fb8b · outbound

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EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Unresolved cited work

Reference 22

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Observation 9406e0a2-f1d4-4b1a-b86a-6bec1f078de9 · outbound

This paper cites Oxford University Press, 2006.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Oxford University Press, 2006

Reference 23

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Observation f0b26c88-5063-4a67-bfcc-573ba468e718 · outbound

This paper cites Oxford University Press, 2016.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Oxford University Press, 2016

Reference 24

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Observation a1292004-ca9d-47e3-800f-b43af720e5e5 · outbound

This paper cites On derived categories of K3 surfaces, symplectic automorphisms and the Conway group.Advanced Studies in Pure Mathematics, 69: 387-405, 2016.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds On derived categories of K3 surfaces, symplectic automorphisms and the Conway group.Advanced Studies in Pure Mathematics, 69: 387-405, 2016

Reference 25

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Observation bc0c3f27-5c84-4fd6-ae95-a3cc7793dd1c · outbound

This paper cites Cambridge University Press, 2010.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Cambridge University Press, 2010

Reference 26

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Observation d3838561-0001-40d5-8f60-422ad44d8f88 · outbound

This paper cites Iskovskikh, Yuri G.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Iskovskikh, Yuri G

Reference 27

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Observation d1dc7b66-579d-4a7c-aed4-406e21540e41 · outbound

This paper cites Categorical Torelli theorems for Gushel-Mukai threefolds.Journal of London Mathematical Society, 109(3): No.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Categorical Torelli theorems for Gushel-Mukai threefolds.Journal of London Mathematical Society, 109(3): No

Reference 28

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Observation 4c924eff-b369-4a45-a6b9-337192f09038 · outbound

This paper cites Brill-Noether reconstruction of index one prime Fano threefolds.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Brill-Noether reconstruction of index one prime Fano threefolds

Reference 29

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Observation 2b6d1edd-a95f-460d-ac95-ee6a73ef7cea · outbound

This paper cites Derived categories of cyclic covers and their branch divisors.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Derived categories of cyclic covers and their branch divisors

Reference 30

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Observation c44c5299-5dd5-433d-8c96-16ac330e92c1 · outbound

This paper cites Derived categories of Gushel–Mukai varieties.Compositio Math- ematica, 154: 1362–1406, 2018.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Derived categories of Gushel–Mukai varieties.Compositio Math- ematica, 154: 1362–1406, 2018

Reference 31

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Observation f21fabf8-6778-4faa-a20b-12d0e69e4607 · outbound

This paper cites Categorical cones and quadratic homological projective duality.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Categorical cones and quadratic homological projective duality

Reference 32

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Observation 6e9315d2-0e81-48ca-b748-83562ebe8da1 · outbound

This paper cites On two families of Enriques categories over K3 surfaces.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds On two families of Enriques categories over K3 surfaces

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T16:33:45.898085Z

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Observation 4709a449-c041-4bff-b383-66196d5e698c · outbound

This paper cites Inducing stability conditions.Journal of Algebraic Geometry, 18(4): 605-649, 2009.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Inducing stability conditions.Journal of Algebraic Geometry, 18(4): 605-649, 2009

Reference 34

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Observation 568fff2e-05ba-4522-afb6-939605032ba7 · outbound

This paper cites Birational geometry of singular moduli spaces of O’Grady type.Advances in Mathematics, 296: 210-267, 2016.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Birational geometry of singular moduli spaces of O’Grady type.Advances in Mathematics, 296: 210-267, 2016

Reference 35

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Observation e2a5c6da-3b8b-48f9-9103-44df0b31cb56 · outbound

This paper cites MMP via wall-crossing for moduli spaces of stable sheaves on an Enriques surface.Advances in Mathematics, 372: No.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds MMP via wall-crossing for moduli spaces of stable sheaves on an Enriques surface.Advances in Mathematics, 372: No

Reference 36

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Observation 80e41ff1-c8db-4e3d-aec6-8c4e0148e1a9 · outbound

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EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Unresolved cited work

Reference 37

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EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Unresolved cited work

Reference 38

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Observation 36702cfd-8ebf-4d6b-a738-2f9e0f79bb5f · outbound

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EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T16:33:46.633326Z

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Observation 232b50e0-fa9a-44f3-8469-d0303bae7e1d · outbound

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EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Unresolved cited work

Reference 40

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Observation 9b1173a7-b25a-4e63-813f-3154501cf2c5 · outbound

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EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T16:33:46.778439Z

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Observation 4297921e-4c05-4766-9574-a85f857e72d3 · outbound

This paper cites Stability conditions and moduli spaces for Kuznetsov com- ponents of Gushel–Mukai varieties.Geometry & Topology, 26(7): 3055-3121, 2022.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Stability conditions and moduli spaces for Kuznetsov com- ponents of Gushel–Mukai varieties.Geometry & Topology, 26(7): 3055-3121, 2022

Reference 42

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Observation 546664db-5bd9-4105-a1ed-6243ecaf5145 · outbound

This paper cites Moduli spaces of stable objects in Enriques categories.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Moduli spaces of stable objects in Enriques categories

Reference 43

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Observation 990a0314-4205-4135-9262-1e812b486b2a · outbound

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EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Unresolved cited work

Reference 44

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Observation 0d3dba2a-1ace-48fe-ba30-0fb1599d2c91 · outbound

This paper cites Moduli stacks and invariants of semistable objects on K3 surfaces.Advances in Mathe- matics, 217(6): 2736-2781, 2008.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds Moduli stacks and invariants of semistable objects on K3 surfaces.Advances in Mathe- matics, 217(6): 2736-2781, 2008

Reference 45

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Observation c84db967-6326-4d40-83d6-3eebaf2ca4df · outbound

This paper cites F. Enriques.

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds F. Enriques

Reference 46

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Pith citing papers

Observation 27b2f127-8555-44e7-97a3-4fdffe71939b · inbound

Bridgeland-Enriques general K3 surfaces cites this paper.

Bridgeland-Enriques general K3 surfaces EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-07-03T04:57:37.888849Z

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