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October, 2008 Subordinate fibers of Takamura splitting families for stellar singular fibers
Kazushi AHARA, Ikuko AWATA
J. Math. Soc. Japan 60(4): 983-1007 (October, 2008). DOI: 10.2969/jmsj/06040983


Takamura constructed a theory on splitting families of degenerations of Riemann surfaces. We call them Takamura splitting families. In a Takamura splitting family, there appear two kinds of singular fibers, called a main fiber and subordinate fibers. In this paper, when the original singular fiber is stellar and the core is a projective line, we determine the number of subordinate fibers and describe the types of singular points, which are nodes.


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Kazushi AHARA. Ikuko AWATA. "Subordinate fibers of Takamura splitting families for stellar singular fibers." J. Math. Soc. Japan 60 (4) 983 - 1007, October, 2008.


Published: October, 2008
First available in Project Euclid: 5 November 2008

zbMATH: 1155.14008
MathSciNet: MR2467867
Digital Object Identifier: 10.2969/jmsj/06040983

Primary: 14D05 , 14J15
Secondary: 14H15 , 32S30

Keywords: Degeneration of complex curves , Riemann surface , splitting families of degenerations

Rights: Copyright © 2008 Mathematical Society of Japan


Vol.60 • No. 4 • October, 2008
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