A derived equivalence for a degree 6 del Pezzo surface over an arbitrary field

Abstract

Let S be a degree six del Pezzo surface over an arbitrary field F. Motivated by the first author's classification of all such S up to isomorphism (3) in terms of a separable F-algebra B×Q×F, and by his K-theory isomorphism Kn(S) � Kn(B × Q × F) for n � 0, we prove an equivalence of derived categories D b (cohS) � D b (modA) where A is an explicitly given finite dimensional F-algebra whose semisimple part is B × Q × F.