Projective manifolds whose tangent bundle contains a strictly nef subsheaf

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2020-04-18 DOI:10.1090/jag/807

Jie Liu, Wenhao Ou, Xiaokui Yang

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引用次数: 16

Abstract

Suppose that X X is a projective manifold whose tangent bundle T X T_X contains a locally free strictly nef subsheaf. We prove that X X is isomorphic to either a projective space or a projective bundle over a hyperbolic manifold of general type. Moreover, if the fundamental group π 1 ( X ) \pi _1(X) is virtually solvable, then X X is isomorphic to a projective space.

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切丛包含严格nef子综的射影流形

设X X是一个射影流形，其切束T X T_X包含一个局部自由的严格nef子轴。证明X X与一般型双曲流形上的射影空间或射影束同构。此外，如果基本群π 1(X) \pi _1(X)是虚可解的，则X X是射影空间同构的。

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

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.