On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds | Paper Citation Record

Observation 9454fedd-ab26-4ad5-8db0-7e157905f3f9 · outbound

This paper cites Apostolov, Moduli spaces of polarised irreducible symplectic manifolds are not necessarily connected, Ann.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Apostolov, Moduli spaces of polarised irreducible symplectic manifolds are not necessarily connected, Ann

Reference 1

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This paper cites Anchouche, I.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Anchouche, I

Reference 2

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This paper cites Alper, Stacks and Moduli, working draft (lecture notes), version January 5, 2026.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Alper, Stacks and Moduli, working draft (lecture notes), version January 5, 2026

Reference 3

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Observation dbaa6854-2ec5-441a-9f59-27c6e8d74c1f · outbound

This paper cites Beauville, Vari\'et\'es k\"ahl\'eriennes dont la premi\`ere classe de Chern est nulle, J.\ Differential Geom.\ 18 (1983), 755--782.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Beauville, Vari\'et\'es k\"ahl\'eriennes dont la premi\`ere classe de Chern est nulle, J.\ Differential Geom.\ 18 (1983), 755--782

Reference 4

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Observation 9dcf5778-9d1e-472b-83d4-57324692d9b8 · outbound

This paper cites Beckmann, Atomic objects on hyper-K\"ahler manifolds, J.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Beckmann, Atomic objects on hyper-K\"ahler manifolds, J

Reference 5

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Observation 9ffa6752-9410-4c3f-8b9e-380a684f2703 · outbound

This paper cites Biswas, T.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Biswas, T

Reference 6

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Observation e333ada3-3e99-454a-9380-581a67d5610d · outbound

This paper cites van Bree, A.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds van Bree, A

Reference 7

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Observation 3246758b-7d0e-406a-bfbb-cc2fb799488f · outbound

This paper cites Bridgeland, A.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Bridgeland, A

Reference 8

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Observation 489fc36f-06a3-49d7-863e-a95bba57f396 · outbound

This paper cites Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories

Reference 9

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Observation 876e3480-74e1-4247-9f0a-c4155f05f5a0 · outbound

This paper cites Bottini, Towards a modular construction of OG10, Compos.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Bottini, Towards a modular construction of OG10, Compos

Reference 10

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Observation 1226b28a-f053-438c-ba08-7529798e0924 · outbound

This paper cites O'Grady's tenfolds from stable bundles on hyper-K\"ahler fourfolds.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds O'Grady's tenfolds from stable bundles on hyper-K\"ahler fourfolds

Reference 11

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Observation dfdc80e8-f2a6-42e3-9181-4ff6fa3a838d · outbound

This paper cites Boucksom, Le cône kählérien d'une variété hyperkählérienne.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Boucksom, Le cône kählérien d'une variété hyperkählérienne

Reference 12

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Observation b2baf8f2-1c22-410d-aa4f-c1d101fb6452 · outbound

This paper cites Buskin, Every rational Hodge isometry between two K3 surfaces is algebraic, J.\ Reine Angew.\ Math.\ 755 (2019), 127--150.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Buskin, Every rational Hodge isometry between two K3 surfaces is algebraic, J.\ Reine Angew.\ Math.\ 755 (2019), 127--150

Reference 13

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Observation 4cac174b-d2a5-4c9b-ac41-71208f4ed8fd · outbound

This paper cites C a ld a raru, Derived categories of twisted sheaves on Calabi--Yau manifolds, Ph.D.\ thesis, Cornell University, 2000.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds C a ld a raru, Derived categories of twisted sheaves on Calabi--Yau manifolds, Ph.D.\ thesis, Cornell University, 2000

Reference 14

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Observation a3e14f49-a3a1-47ed-8a02-1dea384db9ba · outbound

This paper cites C a ld a raru, Nonfine moduli spaces of sheaves on K3 surfaces, Int.\ Math.\ Res.\ Not.\ 2002 (2002), no.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds C a ld a raru, Nonfine moduli spaces of sheaves on K3 surfaces, Int.\ Math.\ Res.\ Not.\ 2002 (2002), no

Reference 15

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Observation 73135e91-cce4-4748-b388-346192a09789 · outbound

This paper cites Debarre, Hyper-Kähler manifolds, Milan J.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Debarre, Hyper-Kähler manifolds, Milan J

Reference 16

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Observation e614f999-f0ff-4c6f-9876-547806c48730 · outbound

This paper cites Fatighenti, Examples of non-rigid, modular vector bundles on hyperk\"ahler manifolds, Int.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Fatighenti, Examples of non-rigid, modular vector bundles on hyperk\"ahler manifolds, Int

Reference 17

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Observation 8efb74cb-18ff-435a-8c5a-4306f22691ae · outbound

This paper cites Modular vector bundles with and without moduli.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Modular vector bundles with and without moduli

Reference 18

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Observation 5088d577-acb9-48af-a51e-5dbd795578cd · outbound

This paper cites Modular vector bundles on hyperk\"ahler manifolds of Debarre-Voisin type.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Modular vector bundles on hyperk\"ahler manifolds of Debarre-Voisin type

Reference 19

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Observation 21965440-06ca-4f0f-8461-6f0a2b72370f · outbound

This paper cites Gritsenko, K.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Gritsenko, K

Reference 20

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Observation e9e74f0b-e9ac-4862-a2ac-4a56bd2faffb · outbound

This paper cites Gritsenko, K.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Gritsenko, K

Reference 21

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On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Unresolved cited work

Reference 23

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Observation 4a3fb170-0ca0-4e55-b09e-54499dcb71de · outbound

This paper cites The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles

Reference 24

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Observation f52de1ea-e526-444a-8c55-564a9b357b2a · outbound

This paper cites Huybrechts, Compact hyperk\"ahler manifolds: basic results, Invent.\ Math.\ 135 (1999), no.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Huybrechts, Compact hyperk\"ahler manifolds: basic results, Invent.\ Math.\ 135 (1999), no

Reference 25

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Observation ad84c504-6d6c-4efa-a75c-570056a944d8 · outbound

This paper cites Huybrechts, Fourier--Mukai transforms in algebraic geometry, Oxford Mathematical Monographs, Oxford Univ.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Huybrechts, Fourier--Mukai transforms in algebraic geometry, Oxford Mathematical Monographs, Oxford Univ

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Observation da0c59f6-984a-46af-8bb5-ff5e64fe85c4 · outbound

This paper cites Huybrechts, Lectures on K3 Surfaces, Camb.\ Stud.\ Adv.\ Math.\ 158 (2016).

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Huybrechts, Lectures on K3 Surfaces, Camb.\ Stud.\ Adv.\ Math.\ 158 (2016)

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Observation bb5e9f65-6c3b-4c5d-9a5d-6d70342fd9ca · outbound

This paper cites Huybrechts, M.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Huybrechts, M

Reference 28

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This paper cites Huybrechts, S.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Huybrechts, S

Reference 29

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Observation e6cdecbd-22c8-4e8f-87f1-701d559fafc4 · outbound

This paper cites Huybrechts, P.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Huybrechts, P

Reference 30

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This paper cites Iliev, G.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Iliev, G

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This paper cites Constructions of derived equivalent hyper-K\"ahler fourfolds.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Constructions of derived equivalent hyper-K\"ahler fourfolds

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Observation d06e2cdc-869a-4782-8b17-dc3ac4022da5 · outbound

This paper cites Markman, On the monodromy of moduli spaces of sheaves on K3 surfaces, J.\ Algebraic Geom.\ 17 (2008), no.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Markman, On the monodromy of moduli spaces of sheaves on K3 surfaces, J.\ Algebraic Geom.\ 17 (2008), no

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Observation f402132c-6df1-4048-86e4-08a06e2adc4e · outbound

This paper cites Markman, Integral constraints on the monodromy group of the hyperk\"ahler resolution of a symmetric product of a K3 surface, Int.\ J.\ Math.\ 21 (2010), 169--223.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Markman, Integral constraints on the monodromy group of the hyperk\"ahler resolution of a symmetric product of a K3 surface, Int.\ J.\ Math.\ 21 (2010), 169--223

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This paper cites Markman, The Beauville--Bogomolov class as a characteristic class, J.\ Algebraic Geom.\ 29 (2020), no.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Markman, The Beauville--Bogomolov class as a characteristic class, J.\ Algebraic Geom.\ 29 (2020), no

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Observation 57960cd6-399c-4d2a-8cf4-7f0861564ad0 · outbound

This paper cites Markman, Stable vector bundles on a hyper-K\"ahler manifold with a rank 1 obstruction map are modular, Kyoto J.\ Math.\ 64 (2024), no.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Markman, Stable vector bundles on a hyper-K\"ahler manifold with a rank 1 obstruction map are modular, Kyoto J.\ Math.\ 64 (2024), no

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This paper cites Markman, Rational Hodge isometries of hyper-K\"ahler varieties of K3^ [n] -type are algebraic , Compos.\ Math.\ 160 (2024), no.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Markman, Rational Hodge isometries of hyper-K\"ahler varieties of K3^ [n] -type are algebraic , Compos.\ Math.\ 160 (2024), no

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Observation 97de52af-be90-483d-9cbe-d9093774e10e · outbound

This paper cites Maulik, J.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Maulik, J

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Observation 4eb33667-72f6-4441-aae1-c1988ddcd066 · outbound

This paper cites Mukai, Symplectic structure of the moduli space of sheaves on an abelian or K3 surface, Invent.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Mukai, Symplectic structure of the moduli space of sheaves on an abelian or K3 surface, Invent

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Observation faff949d-ca7c-424e-bece-aa9c78eb9ea9 · outbound

This paper cites Mukai, On the moduli space of bundles on K3 surfaces.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Mukai, On the moduli space of bundles on K3 surfaces

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Observation c8669ab8-d20a-4a1d-b541-e78e91ba924d · outbound

This paper cites HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$

Reference 49

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Observation 8c76357e-0b27-4040-8d84-a1ca1c9c74d2 · outbound

This paper cites Pavel, M.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Pavel, M

Reference 50

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Observation 0a09d088-7c69-4916-b7dc-cf4962511e62 · outbound

This paper cites Reede, Z.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Reede, Z

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Observation 90bbf7ab-4404-4a52-b770-a4b4517b29f4 · outbound

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On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Schr\"oer, Topological methods for complex-analytic Brauer groups, Topology 44 (2005), no

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Observation 3e36ec88-d25e-46bd-9d8d-ecde790ce252 · outbound

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On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Taelman, Derived equivalences of hyperkähler varieties, Geom

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Observation 96b4cccb-8390-40dc-ac3e-3411feefd894 · outbound

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On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Verbitsky, Hyperholomorphic bundles over a hyperk\"ahler manifold, J.\ Algebraic Geom.\ 5 (1996), no

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Observation 6e343cdc-2a66-4c30-8783-30ec326d7748 · outbound

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On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds ahler manifolds, in Hyperk\

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Observation 752238ea-762d-423b-9a83-43b14c81cf9c · outbound

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On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Verbitsky, Mapping class group and a global Torelli theorem for hyperk\"ahler manifolds, Duke Math.\ J.\ 162 (2013), no

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This paper cites Yoshioka, Stability and the Fourier-Mukai transform.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds Yoshioka, Stability and the Fourier-Mukai transform

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On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type

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