Compact Manifolds Covered by a Torus

被引：0

作者：

Jean-Pierre Demailly

Jun-Muk Hwang

Thomas Peternell

机构：

[1] Université de Grenoble I,Institut Fourier

[2] School of Mathematics,KIAS

[3] Universität Bayreuth,Mathematisches Institut

来源：

Journal of Geometric Analysis | 2008年 / 18卷

关键词：

Complex torus; Abelian variety; Projective space; Kähler manifold; Albanese morphism; Fundamental group; Étale cover; Ramification divisor; Nef divisor; Nef tangent bundle; Anti-canonical line bundle; Numerically flat vector bundle; 14J40; 14C30; 32J25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let X be a compact complex manifold which is the image of a complex torus by a holomorphic surjective map A→X. We prove that X is Kähler and that up to a finite étale cover, X is a product of projective spaces by a torus.

引用

页码：324 / 340

页数：16

共 18 条

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