%0 Journal Article
%T The group of autoequivalences and the Fourier-Mukai number of a projective manifold
%A Kotaro Kawatani
%J Mathematics
%D 2010
%I arXiv
%X Let $X$ be a smooth projective variety and $\Aut (D(X))$ the group of autoequivalences of the derived category of $X$. In this paper we show that $X$ has no Fourier-Mukai partner other than $X$ when $\Aut (D(X))$ is generated by shifts, automorphisms and tensor products of line bundles.
%U http://arxiv.org/abs/1005.2866v2