Bogomolov-Sommese type vanishing for globally F-regular threefolds

被引：3
作者：
Kawakami, Tatsuro [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
来源：
MATHEMATISCHE ZEITSCHRIFT | 2021年 / 299卷 / 3-4期
关键词：
Frobenius split varieties; Globally F-regular varieties; Vanishing theorems; Differential forms; SURFACES; SPACES; CLASSIFICATION; INEQUALITY; EXISTENCE; MORPHISM; THEOREMS; 3-FOLDS; SHEAVES;
D O I：
10.1007/s00209-021-02740-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that every invertible subsheaf of the cotangent bundle of a smooth globally F-regular threefold of characteristic p > 3 has Iitaka dimension less than or equal to one.
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页码：1821 / 1835
页数：15
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