Linear Shafarevich conjecture

P. Eyssidieux; L. Katzarkov; T. Pantev; M. Ramachandran

doi:10.4007/annals.2012.176.3.4

Linear Shafarevich conjecture

P. Eyssidieux
, L. Katzarkov
, T. Pantev
, M. Ramachandran

Mathematics

Institut universitaire de France
University of Miami
University of Vienna
University of Pennsylvania

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1545-1581
Number of pages	37
Journal	Annals of Mathematics
Volume	176
Issue number	3
DOIs	https://doi.org/10.4007/annals.2012.176.3.4
State	Published - 2012

Access to Document

10.4007/annals.2012.176.3.4

Cite this

@article{6a4d84b5101c4962b396734c8b2f9196,

title = "Linear Shafarevich conjecture",

abstract = "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.",

author = "P. Eyssidieux and L. Katzarkov and T. Pantev and M. Ramachandran",

year = "2012",

doi = "10.4007/annals.2012.176.3.4",

language = "English",

volume = "176",

pages = "1545--1581",

journal = "Annals of Mathematics",

issn = "0003-486X",

publisher = "Department of Mathematics at Princeton University",

number = "3",

}

TY - JOUR

T1 - Linear Shafarevich conjecture

AU - Eyssidieux, P.

AU - Katzarkov, L.

AU - Pantev, T.

AU - Ramachandran, M.

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84872476570

U2 - 10.4007/annals.2012.176.3.4

DO - 10.4007/annals.2012.176.3.4

M3 - Article

AN - SCOPUS:84872476570

SN - 0003-486X

VL - 176

SP - 1545

EP - 1581

JO - Annals of Mathematics

JF - Annals of Mathematics

IS - 3

ER -

Linear Shafarevich conjecture

Abstract

Access to Document

Other files and links

Fingerprint

Cite this