Maps between complex hyperbolic surfaces
type: Item
instance of: scholarly article
title: Maps between complex hyperbolic surfaces
zbMATH Open document ID: 1030.32019
DOI: 10.1023/A:1023691505890
author: Domingo Toledo
published in: Geometriae Dedicata
publication date: 2003-08-06T00:00:00Z
review text: The author studies examples of holomorphic mappings between complex hyperbolic surfaces that are not covering mappings. We note that, in this paper, a complex hyperbolic surface means a compact quotient of the unit ball in \(\mathbb{C}^2\). Those mappings induce homomorphisms on the fundamental groups that have infinite kernel. Hence those mappings give examples of the nonstandard homomorphisms found by Mostow, which is concerning super-rigidity. The author also studies singularities of those mappings.
reviewed by: Yoshihiro Aihara
Mathematics Subject Classification ID: 32Q45
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 58K20
zbMATH DE Number: 1960047
zbMATH Keywords: Ball quotients
zbMATH Keywords: holomorphic maps
zbMATH Keywords: homomorphisms of discrete groups
zbMATH Keywords: complex hyperbolic surfaces
MaRDI profile type: Publication
full work available at URL: a:1023691505890
OpenAlex ID: W179157910
description: scientific article; zbMATH DE number 1960047