Komplexe Flächen mit holomorphen Vektorfeldern. (Complex surfaces with holomorphic vector fields)
type: Item
instance of: scholarly article
title: Komplexe Flächen mit holomorphen Vektorfeldern. (Complex surfaces with holomorphic vector fields)
zbMATH Open document ID: 0734.32017
DOI: 10.1007/BF02941046
author: P. Heinzner
author: Christoph Gellhaus
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1990-01-01T00:00:00Z
review text: The authors give a list of all minimal compact complex surfaces which admit a non-trivial holomorphic vector field, and determine which surfaces on the list admit an effective holomorphic \({\mathbb{C}}^*\)-action with a fixed point. The proofs depend on the Enriques-Kodaira classification and a number of more recent results on particular classes of surface.
reviewed by: P. E. Newstead
Mathematics Subject Classification ID: 32J15
Mathematics Subject Classification ID: 32L05
zbMATH DE Number: 4214371
zbMATH Keywords: minimal compact complex surfaces
zbMATH Keywords: holomorphic vector field
zbMATH Keywords: \({\mathbb{C}}^ *\)-action
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4214371