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