Derived equivalences of Azumaya algebras on K3 surfaces

Update: 2011-07-01

Description

We consider moduli spaces of Azumaya algebras on K3 surfaces. These correspond to twisted sheaves. We prove that when _(A) is zero and c2(A) is within 2r of its minimal bound, where r2 is the rank of A, then the moduli space if non empty is a smooth projective surface. We construct a moduli space of Azumaya algebras on the double cover of the projective plane. In some other special cases we prove a derived equivalence between K3 surfaces and moduli spaces of Azumaya algebras.

Comments

In Channel

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Derived equivalences of Azumaya algebras on K3 surfaces

#box-pro-ellipsis-175757749604339{-webkit-line-clamp:2;}Derived equivalences of Azumaya algebras on K3 surfaces

Derived equivalences of Azumaya algebras on K3 surfaces

Steve Greenham

Derived equivalences of Azumaya algebras on K3 surfaces