On isolated singularities with noninvertible finite endomorphism

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

No reviews yet.

No comments yet.