Article ID Journal Published Year Pages File Type
4667632 Advances in Mathematics 2007 20 Pages PDF
Abstract

Due to a theorem by Orlov every exact fully faithful functor between the bounded derived categories of coherent sheaves on smooth projective varieties is of Fourier–Mukai type. We extend this result to the case of bounded derived categories of twisted coherent sheaves and at the same time we weaken the hypotheses on the functor. As an application we get a complete description of the exact functors between the abelian categories of twisted coherent sheaves on smooth projective varieties.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)