Solvable or nilpotent quotients of groups of Kähler orbifolds
type: Item
instance of: scholarly article
title: Solvable or nilpotent quotients of groups of Kähler orbifolds
zbMATH Open document ID: 1217.32010
published in: Manuscripta Mathematica
publication date: 2011-05-04T00:00:00Z
review text: Motivated by the bimeromorphic classification of compact Kähler manifolds and the study of universal coverings, the author extends known results to the fundamental groups of Kähler geometric orbifolds; specifically, the results mentioned above concern Green-Lazarsfeld sets and solvable quotients of Kähler groups.
reviewed by: Gabriela Paola Ovando
Mathematics Subject Classification ID: 32Q30
Mathematics Subject Classification ID: 32Q15
Mathematics Subject Classification ID: 32J27
Mathematics Subject Classification ID: 32N05
Mathematics Subject Classification ID: 22E25
zbMATH DE Number: 5883628
zbMATH Keywords: Kähler geometric orbifolds
zbMATH Keywords: fundamental groups
zbMATH Keywords: Grenn-Lazarsfeld sets
zbMATH Keywords: solvable quotients of fundamental groups
author: Frédéric Campana
MaRDI profile type: Publication
full work available at URL: s00229-010-0413-x
OpenAlex ID: W2115593479
cites work: Higgs line bundles, Green-Lazarsfeld sets,\\and maps of K\"ahler manifolds to curves
cites work: Solvable fundamental groups of algebraic varieties and K\"ahler manifolds
cites work: Q4027233
cites work: A geometric invariant of discrete groups
cites work: Classification theorem for a class of flat connections and representations of Kähler groups.
cites work: Q3749320
cites work: Remarques sur les groupes de Kähler nilpotents
cites work: Green-Lazarsfeld sets and resolvable quotients of Kähler groups
cites work: Orbifolds, special varieties and classification theory.
cites work: Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Appendix by Arnaud Beauville
cites work: Q4352467
cites work: \(\Gamma\)-reduction for smooth orbifolds
cites work: Théorie de Hodge. II. (Hodge theory. II)
cites work: Commensurabilities among Lattices in PU (1,n). (AM-132)
cites work: The Bieri-Neumann-Strebel invariant of fundamental groups of Kähler manifolds
cites work: Q3436926
cites work: Q3658292
cites work: Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
cites work: Q3944763
cites work: Shafarevich maps and plurigenera of algebraic varieties
cites work: The algebraic topology of smooth algebraic varieties
cites work: Q3996764
cites work: Mixed Hodge Structures
cites work: Generalised components of variance models
cites work: Subspaces of moduli spaces of rank one local systems
cites work: Q4694949
cites work: Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
DOI: 10.1007/S00229-010-0413-X
description: scientific article; zbMATH DE number 5883628