Generic positivity and foliations in positive characteristic

被引：17
作者：
Langer, Adrian [1 ,2 ]
机构：
[1] Polish Acad Sci, Inst Math, PL-00656 Warsaw, Poland
[2] Univ Warsaw, Inst Math, PL-02097 Warsaw, Poland
来源：
ADVANCES IN MATHEMATICS | 2015年 / 277卷
关键词：
Tangent bundle; Foliations; Nef line bundle; Positive characteristic; DEFORMATIONS; INEQUALITY; DIMENSION; BUNDLES;
D O I：
10.1016/j.aim.2015.02.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove generic semipositivity of the tangent bundle of a non-uniruled Calabi-Yau variety in positive characteristic. We also construct an example of a nef line bundle in characteristic zero, whose each reduction to positive characteristic is not nef. (C) 2015 Elsevier Inc. All rights reserved.
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页码：1 / 23
页数：23
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