承认极化自同态的非-$\mathbb{Q}$-Gorenstein 簇的奇点
代数几何
2021-03-15 v6
摘要
在本文中，我们讨论了非--Gorenstein 情形下对数典范奇点的推广。我们证明，若一个正规复射影簇具有非可逆的极化自同态，则它在我们的意义下具有对数典范奇点。作为推论，我们肯定了 Broustet 和 H"{o}ring 的一个猜想。
引用
@article{arxiv.1811.01795,
title = {Singularities of non-$\mathbb{Q}$-Gorenstein varieties admitting a polarized endomorphism},
author = {Shou Yoshikawa},
journal= {arXiv preprint arXiv:1811.01795},
year = {2021}
}
备注
21 pages. To appear in IMRN. This paper is revised about the following points that the assumption in Theorem 1.6 is removed, and Theorem 6.7, Definition 6.8 and Theorem 6.9 are added. Furthermore Section 7 is also added in version 4