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

被引：1
|
作者：
Yoshikawa, Shou [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 13期
关键词：
MORPHISMS; DIVISORS; VOLUME;
D O I：
10.1093/imrn/rnaa386
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new generalization of log canonical singularities for non-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 Horing [6].
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页码：10095 / 10118
页数：24
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