Foliations on ruled surfaces with invariant sections
type: Item
instance of: scholarly article
zbMATH Open document ID: 1009.32021
author: Akihiro Saeki
publication date: 2003-04-06T00:00:00Z
Mathematics Subject Classification ID: 32S65
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 1657485
zbMATH Keywords: ruled surfaces
zbMATH Keywords: singular holomorphic foliations
MaRDI profile type: Publication
title: Foliations on ruled surfaces with invariant sections
published in: Far East Journal of Mathematical Sciences
review text: This paper is a contribution to the explicit description of singular holomorphic foliations on ruled surfaces. The paper considers foliations keeping a normalized section of the ruling as an invariant curve, and with one singularity at some point in this section. If the singularity has an invertible linear part, then there are two separatices by the singularity; the invariant section and a second one, which is assumed to be a compact Riemann surface embedded on the ruled surface. Under these assumptions the author gets the existence of five families of foliations. Examples for each family are given.
reviewed by: Jesus Muciño Raymundo
description: scientific article; zbMATH DE number 1657485