Factorizations of nonrigid Zariski dense representations of \(\pi_ 1\) of projective algebraic manifolds
type: Item
instance of: scholarly article
title: Factorizations of nonrigid Zariski dense representations of \(\pi_ 1\) of projective algebraic manifolds
zbMATH Open document ID: 0843.14008
DOI: 10.1007/BF01231525
author: Kang Zuo
published in: Inventiones Mathematicae
publication date: 1996-08-25T00:00:00Z
full work available at URL: https://eudml.org/doc/144228
review text: In this paper it is shown that any non-rigid Zariski dense representation \(\rho : \pi_1 (X) \to SL_n (\mathbb{C})\), with \(X\) a complex smooth projective variety, factors in a certain sense (after passing to the associated projective representation and restriction to Zariski open sets) through a regular projection \(f : X \to Y\), where \(\dim Y \leq n - 1\).
Mathematics Subject Classification ID: 14F35
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 703875
zbMATH Keywords: representation of fundamental group
reviewed by: Alexandru Dimca
MaRDI profile type: Publication
cites work: Flat G-bundles with canonical metrics
cites work: Harmonic mappings of Kähler manifolds to locally symmetric spaces
cites work: The Self-Duality Equations on a Riemann Surface
cites work: Factorization of semisimple discrete representations of Kähler groups
cites work: Some structure theorems for semi-simple representations of \(\pi_ 1\) of algebraic manifolds
description: scientific article; zbMATH DE number 703875