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arXiv · 2309.05402

The class group of a minimal model of a quotient singularity

Johannes Schmitt
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Abstract

Let $V$ be a finite-dimensional vector space over the complex numbers and let $G\leq \operatorname{SL}(V)$ be a finite group. We describe the class group of a minimal model (that is, $\mathbb Q$-factorial terminalization) of the linear quotient $V/G$. We prove that such a class group is completely controlled by the junior elements contained in $G$.

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Johannes Schmitt. 2023-09-11. The class group of a minimal model of a quotient singularity. https://arxiv.org/abs/2309.05402

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