Surfaces of the class VII\(_0\) admitting a vector field
type: Item
instance of: scholarly article
title: Surfaces of the class VII\(_0\) admitting a vector field
zbMATH Open document ID: 0984.32009
DOI: 10.1007/PL00000374
author: Georges Dloussky
author: Karl Oeljeklaus
author: Matei Toma
published in: Commentarii Mathematici Helvetici
publication date: 2001-02-28T00:00:00Z
review text: The authors prove that a compact complex surface of class \(\text{VII}_0\) with \(b_2>0\) admitting an action of \((\mathbb{C},+)\) contains exactly \(b_2\) rational curves. It follows that the surface is a deformation of a blown-up primary Hopf surface.
Mathematics Subject Classification ID: 32J15
Mathematics Subject Classification ID: 32M05
Mathematics Subject Classification ID: 32S65
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 1523505
zbMATH Keywords: holomorphic foliation
zbMATH Keywords: holomorphic vector fields
zbMATH Keywords: compact complex surface
reviewed by: P. E. Newstead
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1523505