Reid's recipe and derived categories

Details Reid's recipe and derived categories Reid's recipe and derived categories

2008-12-24

arxiv.org/abs/0812.4503v3

Mathematics

Algebraic Geometry

24 pages, 15 figures; v3 - minor edits to introduction, proof of the main theorem re-written for clarity, a redundant proof re

Scientific paper

We prove two existing conjectures which describe the geometrical McKay
correspondence for a finite, abelian subgroup of SL_3(C). 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.

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