%0 Journal Article
%T Semiorthogonal decompositions of derived categories of equivariant coherent sheaves
%A Alexei Elagin
%J Mathematics
%D 2008
%I arXiv
%R 10.1070/IM2009v073n05ABEH002467
%X Let X be an algebraic variety with an action of an algebraic group G. Suppose X has a full exceptional collection of sheaves, and these sheaves are invariant under the action of the group. We construct a semiorthogonal decomposition of bounded derived category of G-equivariant coherent sheaves on X into components, equivalent to derived categories of twisted representations of the group. If the group is finite or reductive over the algebraically closed field of zero characteristic, this gives a full exceptional collection in the derived equivariant category. We apply our results to particular varieties such as projective spaces, quadrics, Grassmanians and Del Pezzo surfaces.
%U http://arxiv.org/abs/0809.5166v1