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arXiv · 1510.02731

On isolated singularities with noninvertible finite endomorphism

Yuchen Zhang
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Abstract

We prove that if $\phi:(X,0)\to (X,0)$ is a finite endomorphism of an isolated singularity such that $\operatorname{deg}(\phi)\geq 2$ and $\phi$ is \'etale in codimension 1, then $X$ is $\mathbb{Q}$-Gorenstein and log canonical.

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Yuchen Zhang. 2015-10-09. On isolated singularities with noninvertible finite endomorphism. https://arxiv.org/abs/1510.02731

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