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.
Irreducible symplectic varieties from moduli spaces of sheaves on K3 and Abelian surfaces
Arvid Perego;
2023-01-01
Abstract
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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Perego, Rapagnetta - Irreducible symplectic varieties from moduli spaces of sheaves on K3 and Abelian surfaces.pdf
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