Article ID Journal Published Year Pages File Type
4586682 Journal of Algebra 2010 24 Pages PDF
Abstract

We prove two conjectures from Cautis and Logvinenko (2009) [CL09] which describe the geometrical McKay correspondence for a finite, abelian subgroup of SL3(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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory