Derived Equivalences of Azumaya Algebras on K3 Surfaces

Details Derived Equivalences of Azumaya Algebras on K3 Surfaces Derived Equivalences of Azumaya Algebras on K3 Surfaces

2011-04-21

arxiv.org/abs/1104.4333v1

Mathematics

Algebraic Geometry

Scientific paper

We consider moduli spaces of Azumaya algebras on K3 surfaces. In some cases
we prove a derived equivalence between Azumaya algebras on on K3 surfaces. We
also prove that when $\chi(A)=0$, and $c_2(A)$ is within $2r$ of its minimal
bound where $r^2$ is the rank of $A,$ then the moduli space is a projective
surface if it is non-empty.

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