Subordinate fibers of Takamura splitting families for stellar singular fibers

AHARA, Kazushi; AWATA, Ikuko

J. Math. Soc. Japan, Tome 60 (2008) no. 1, p. 983-1007 / Harvested from Project Euclid

Résumé

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.

Publié le : 2008-10-15
Classification: degeneration of complex curves, Riemann surface, splitting families of degenerations, 14D05, 14J15, 14H15, 32S30

@article{1225894030,
     author = {AHARA, Kazushi and AWATA, Ikuko},
     title = {Subordinate fibers of Takamura splitting families for stellar singular fibers},
     journal = {J. Math. Soc. Japan},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 983-1007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225894030}
}

AHARA, Kazushi; AWATA, Ikuko. Subordinate fibers of Takamura splitting families for stellar singular fibers. J. Math. Soc. Japan, Tome 60 (2008) no. 1, pp.  983-1007. http://gdmltest.u-ga.fr/item/1225894030/