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Derived equivalences of Azumaya algebras on K3 surfaces

Khalid, M (St. Patrick's College Drumcondra)
Thursday 30 June 2011, 14:40-15:10

Seminar Room 1, Newton Institute


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.


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