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

Published 4 Feb 2018 in math.AG | (1802.01182v2)

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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