A Characterization of Toric Varieties in Characteristic p

被引：8

作者：

Achinger, Piotr ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 16期

关键词：

RINGS;

D O I：

10.1093/imrn/rnu151

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If X is a smooth toric variety over an algebraically closed field of positive characteristic and L is an invertible sheaf on X, it has been shown by Thomsen that the push-forward of L along the Frobenius morphism of X splits into a direct sum of invertible sheaves. We show that this property characterizes smooth projective toric varieties.

引用

页码：6879 / 6892

页数：14

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