COHOMOLOGICALLY HYPERBOLIC ENDOMORPHISMS OF COMPLEX MANIFOLDS

被引：2

作者：

Zhang, De-Qi ^{[1
,2
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

[2] Max Planck Inst Math, D-53111 Bonn, Germany

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2009年 / 20卷 / 07期

关键词：

Endomorphism; Calabi-Yau; rationally connected variety; dynamics; NONNEGATIVE KODAIRA DIMENSION; SMOOTH PROJECTIVE 3-FOLDS; AUTOMORPHISM-GROUPS; FANO MANIFOLDS; VARIETIES; CONNECTEDNESS; THREEFOLDS; CONJECTURE; DYNAMICS; CURRENTS;

D O I：

10.1142/S0129167X09005546

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if a compact Kahler manifold X admits a cohomologically hyperbolic surjective endomorphism then its Kodaira dimension is non-positive. This gives an affirmative answer to a conjecture of Guedj in the holomorphic case. The main part of the paper is to determine the geometric structure and the fundamental groups ( up to finite index) for those X of dimension 3.

引用

页码：803 / 816

页数：14

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