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Irreducible symplectic varieties from moduli spaces of sheaves on K3 and Abelian surfaces

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arxiv 1802.01182 v2 pith:5E7SENUP submitted 2018-02-04 math.AG

Arvid Perego , Antonio Rapagnetta This is my paper · ORCID
classification math.AG
keywords modulisheavesspacesabelianirreduciblesurfacesymplecticvarieties
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We show that the moduli spaces of sheaves on a projective K3 surface are irreducible symplectic varieties, and that the same holds for the fibers of the Albanese map of moduli spaces of sheaves on an Abelian surface.

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Cited by 2 Pith papers

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  1. Boundedness of some fibered K-trivial varieties

    math.AG 2025-07 conditional novelty 8.0 of 10

    Fixed-dimension Calabi-Yau varieties with abelian or primitive symplectic fibrations are birationally bounded, and Lagrangian-fibered primitive symplectic varieties have finitely many deformation classes.

  2. Proper moduli spaces of orthosymplectic complexes

    math.AG 2025-12 conditional novelty 7.0 of 10

    Semistable orthosymplectic complexes on smooth projective varieties admit proper good moduli spaces, giving a new compactification for O_n and Sp_{2n} principal bundle moduli.

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