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arXiv · 1811.01795

Singularities of non-$\mathbb{Q}$-Gorenstein varieties admitting a polarized endomorphism

Shou Yoshikawa
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Abstract

In this paper, we discuss a generalization of log canonical singularities in the non-$\mathbb{Q}$-Gorenstein setting. We prove that if a normal complex projective variety has a non-invertible polarized endomorphism, then it has log canonical singularities in our sense. As a corollary, we give an affirmative answer to a conjecture of Broustet and H\"{o}ring.

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Shou Yoshikawa. 2018-11-05. Singularities of non-$\mathbb{Q}$-Gorenstein varieties admitting a polarized endomorphism. https://arxiv.org/abs/1811.01795

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