Reid's recipe and derived categories
Algebraic Geometry
2012-05-16 v4
Abstract
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.
Keywords
Cite
@article{arxiv.0812.4503,
title = {Reid's recipe and derived categories},
author = {Timothy Logvinenko},
journal= {arXiv preprint arXiv:0812.4503},
year = {2012}
}
Comments
24 pages, 15 figures; v4 - a missing assumption reinstated