Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Reid's recipe and derived categories

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

[thumbnail of reids-recipe-and-derived-categories.pdf]
PDF - Accepted Post-Print Version
Download (935kB) | Preview


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

Citation Data

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

Actions (repository staff only)

Edit Item Edit Item


Downloads per month over past year

View more statistics