Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 60, Number 4 (2008), 983-1007.
Subordinate fibers of Takamura splitting families for stellar singular fibers
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.
J. Math. Soc. Japan, Volume 60, Number 4 (2008), 983-1007.
First available in Project Euclid: 5 November 2008
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14D05: Structure of families (Picard-Lefschetz, monodromy, etc.) 14J15: Moduli, classification: analytic theory; relations with modular forms [See also 32G13]
Secondary: 14H15: Families, moduli (analytic) [See also 30F10, 32G15] 32S30: Deformations of singularities; vanishing cycles [See also 14B07]
AHARA, Kazushi; AWATA, Ikuko. Subordinate fibers of Takamura splitting families for stellar singular fibers. J. Math. Soc. Japan 60 (2008), no. 4, 983--1007. doi:10.2969/jmsj/06040983. https://projecteuclid.org/euclid.jmsj/1225894030