The classification of homogeneous surfaces
type: Item
instance of: scholarly article
title: The classification of homogeneous surfaces
zbMATH Open document ID: 0605.32015
author: Alan Huckleberry
published in: Expositiones Mathematicae
publication date: 1986-01-01T00:00:00Z
review text: A homogeneous surface is a two-dimensional complex manifold on which a Lie group acts transitively as a group of biholomorphic transformations. The author gives a full and selfcontained proof of the classification of homogeneous surfaces. The steps leading to this classification were done by a number of people and are scattered around in the literature. Many of the proofs are more elegant than in the original papers. The article gives a general introduction to the methods and problems of the theory of homogeneous complex manifolds. Recently, Jörg Winkelmann managed to give a complete classification of all three-dimensional homogeneous complex manifolds [\textit{J. Winkelmann}, Thesis, Bochum 1987].
Mathematics Subject Classification ID: 32M10
Mathematics Subject Classification ID: 32M05
Mathematics Subject Classification ID: 22E10
zbMATH DE Number: 3977414
zbMATH Keywords: Lie group
zbMATH Keywords: classification of homogeneous surfaces
zbMATH Keywords: homogeneous complex manifolds
reviewed by: Karl Oeljeklaus
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3977414