Linear Shafarevich conjecture

被引：18
|
作者：
Eyssidieux, P. [1 ]
Katzarkov, L. [2 ,3 ]
Pantev, T. [4 ]
Ramachandran, M. [5 ]
机构：
[1] Univ Grenoble 1, Inst Univ France, Inst Fourier, Grenoble, France
[2] Univ Vienna, Vienna, Austria
[3] Univ Miami, Miami, FL USA
[4] Univ Penn, Philadelphia, PA 19104 USA
[5] SUNY Buffalo, Buffalo, NY 14260 USA
来源：
ANNALS OF MATHEMATICS | 2012年 / 176卷 / 03期
基金：
美国国家科学基金会; 奥地利科学基金会;
关键词：
UNIVERSAL COVERINGS; VECTOR-BUNDLES; REPRESENTATIONS; CONVEXITY; SPACES; MODULI; MAPS;
D O I：
10.4007/annals.2012.176.3.4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we settle affirmatively Shafarevich's uniformization conjecture for varieties with linear fundamental groups. We prove the strongest to date uniformization result - the universal covering space of a complex projective manifold with a linear fundamental group is holomorphically convex. The proof is based on both known and newly developed techniques in non-abelian Hodge theory.
引用
收藏
页码：1545 / 1581
页数：37
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