Singularities of Non-ℚ-Gorenstein Varieties Admitting a Polarized Endomorphism-Reference-Cited by-同舟云学术

Singularities of Non-ℚ-Gorenstein Varieties Admitting a Polarized Endomorphism

Published:2021-02-15 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Yoshikawa Shou¹

Affiliation:

1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan

Abstract

Abstract In this paper, we introduce a new generalization of log canonical singularities for non-$\mathbb{Q}$-Gorenstein varieties. 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 Höring [ 6].

Funder

Program for Leading Graduate Schools, Ministry of Education, Culture, Sports, Science and Technology, Japan

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnaa386/36254313/rnaa386.pdf

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