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McKay correspondence and orbifold equivalence

Authors :
Ionov, Andrei
Source :
Journal of Pure and Applied Algebra Volume 227, Issue 5, May 2023, 107297
Publication Year :
2022

Abstract

We prove that a pair of singularities related by a transformation arising from the McKay correspondence are orbifold equivalent. From this we deduce a new proof of a McKay type equivalence for the matrix factorization categories.

Subjects

Subjects :
Mathematics - Algebraic Geometry

Details

Database :
arXiv
Journal :
Journal of Pure and Applied Algebra Volume 227, Issue 5, May 2023, 107297
Publication Type :
Report
Accession number :
edsarx.2202.12135
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.jpaa.2022.107297;