Arakelov type inequalities for Hodge bundles over algebraic varieties, Part 1: Hodge bundles over algebraic curves

被引：14

作者：

Jost, J

Zuo, K

机构：

[1] Max Planck Inst Math, D-04103 Leipzig, Germany

[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

JOURNAL OF ALGEBRAIC GEOMETRY | 2002年 / 11卷 / 03期

关键词：

D O I：

10.1090/S1056-3911-02-00299-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Arakelov inequalities for systems of Hodge bundles over algebraic varieties, generalizing the classical ones for families of semi-stable curves and abelian varieties. These inequalities are derived from the semi-stability of an associated Higgs bundle, a consequence of the existence of a Hermitian Yang-Mills metric.

引用

页码：535 / 546

页数：12

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