Linear Shafarevich conjecture

被引：20

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：

奥地利科学基金会; 美国国家科学基金会;

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

页码：1545 / 1581

页数：37

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