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

Arvid Perego; Antonio Rapagnetta

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arXiv · 1802.01182

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

Arvid Perego·Antonio Rapagnetta

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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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Arvid Perego, Antonio Rapagnetta. 2018-02-04. Irreducible symplectic varieties from moduli spaces of sheaves on K3 and Abelian surfaces. https://arxiv.org/abs/1802.01182

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