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.

引用

页码：1821 / 1835

页数：15

共 5 条

[1] Bogomolov–Sommese type vanishing for globally F-regular threefolds
Tatsuro Kawakami
Mathematische Zeitschrift, 2021, 299 : 1821 - 1835
[2] Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic
Kawakami, Tatsuro
ADVANCES IN MATHEMATICS, 2022, 409
[3] Bogomolov-Sommese vanishing on log canonical pairs
Graf, Patrick
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2015, 702 : 109 - 142
[4] Extension theorems for differential forms and Bogomolov-Sommese vanishing on log canonical varieties
Greb, Daniel
Kebekus, Stefan
Kovacs, Sandor J.
COMPOSITIO MATHEMATICA, 2010, 146 (01) : 193 - 219
[5] Kollar's injectivity theorem for globally F-regular varieties
Gongyo, Yoshinori
Takagi, Shunsuke
EUROPEAN JOURNAL OF MATHEMATICS, 2019, 5 (03) : 872 - 880

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