%0 Journal Article
%T Reid's recipe and derived categories
%A Timothy Logvinenko
%J Mathematics
%D 2008
%I arXiv
%X We prove two existing conjectures which describe the geometrical McKay correspondence for a finite abelian G in SL3(C) such that C^3/G has a single isolated singularity. We do it by studying the relation between the derived category mechanics of computing a certain Fourier-Mukai transform and a piece of toric combinatorics known as `Reid's recipe', effectively providing a categorification of the latter.
%U http://arxiv.org/abs/0812.4503v4