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
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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2010.04.012
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: | 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 |
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