%0 Journal Article
%T Remarks on derived equivalences of Ricci-flat manifolds
%A Daniel Huybrechts
%A Marc Nieper-Wisskirchen
%J Mathematics
%D 2008
%I arXiv
%X We present results indicating that the decomposition of a Ricci-flat manifold in its irreducible factors is reflected by the derived category of coherent sheaves. More precisely, we prove that a smooth projective variety that is derived equivalent to an abelian variety resp. an irreducible symplectic variety is of the same type. The paper also contains a proof of a conjecure of Caldararu for manifolds with trivial canonical bundle saying that the modified HKR isomorphism for Hochschild homology is compatible with the module structure.
%U http://arxiv.org/abs/0801.4747v1