Reid's recipe and derived categories

Logvinenko, Timothy ORCID: https://orcid.org/0000-0001-5279-6977 2010. Reid's recipe and derived categories. Journal of Algebra 324 (8) , pp. 2064-2087. 10.1016/j.jalgebra.2010.04.012

Preview

PDF - Accepted Post-Print Version Download (935kB) | Preview

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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Algebraic geometry; Quotient singularities; Representations of finite groups; McKay correspondence; Homological algebra; Derived categories
Publisher:	Elsevier
ISSN:	0021-8693
Date of First Compliant Deposit:	30 March 2016
Last Modified:	14 May 2023 18:09
URI:	https://orca.cardiff.ac.uk/id/eprint/45322

Citation Data

Cited 5 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item