Subordinate fibers of Takamura splitting families for stellar singular fibers
type: Item
instance of: scholarly article
title: Subordinate fibers of Takamura splitting families for stellar singular fibers
zbMATH Open document ID: 1155.14008
author: Kazushi Ahara
author: Ikuko Awata
published in: Journal of the Mathematical Society of Japan
publication date: 2009-01-30T00:00:00Z
review text: A degeneration of Riemann surfaces of genus \(g\) is a proper holomorphic map from a smooth complex surface to the unit open disk, the fibre over the origin being singular and the other fibres being smooth curves of genus \(g\geq 1\). The authors study deformations of degenerations, i.e. splitting families of such. Their theory has been developed by Takamura. In a Takamura splitting family there are two kinds of singular fibres, a main one and subordinate ones. In this paper, when the original singular fibre is stellar and the core is a projective line, the authors determine the number of subordinate fibres and describe the types of singular points which are nodes.
Mathematics Subject Classification ID: 14D05
Mathematics Subject Classification ID: 14J15
Mathematics Subject Classification ID: 14H15
Mathematics Subject Classification ID: 32S30
zbMATH DE Number: 5500748
zbMATH Keywords: degeneration of complex curves
zbMATH Keywords: Riemann surface
zbMATH Keywords: splitting families of degenerations
reviewed by: Vladimir P. Kostov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/06040983
OpenAlex ID: W1968374921
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DOI: 10.2969/JMSJ/06040983
description: scientific article; zbMATH DE number 5500748