On the rationality of Kawamata log terminal singularities in positive characteristic

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2017-06-10 DOI:10.14231/ag-2019-023

C. Hacon, J. Witaszek

引用次数: 37

Abstract

We show that there exists a natural number $p_0$ such that any three-dimensional Kawamata log terminal singularity defined over an algebraically closed field of characteristic $p>p_0$ is rational and in particular Cohen-Macaulay.

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关于Kawamata对数终端奇异性在正特征中的合理性

我们证明了存在一个自然数$p_0$，使得定义在特征为$p>p_0$的代数闭域上的任何三维Kawamata对数终端奇点都是有理数，特别是Cohen-Macaulay奇点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.