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arXiv · 2306.06343

A weak version of the McKay correspondence for cyclic quotient singularities

Yusuke Sato
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Abstract

Let G be a finite subgroup of SL(n,C). If a quotient variety C^n/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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Yusuke Sato. 2023-06-10. A weak version of the McKay correspondence for cyclic quotient singularities. https://arxiv.org/abs/2306.06343

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