A weak version of the McKay correspondence for cyclic quotient singularities

2023/06/10 by Sato, Yusuke
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2306.06343

Abstract

Let G be a finite subgroup of SL(n,C). If a quotient variety Cⁿ/G has a crepant resolution, then its Euler number equals to the number of conjugacy classes of G, which is a weak version of the McKay correspondence. In this paper, we generalize this correspondence to a finite cyclic group of GL(n,C). We construct this correspondence using certain toric resolutions obtained through continued fractions.

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