Splitting of Singular Fibers in Certain Holomorphic Fibrations

J. Math. Sci. Univ. Tokyo
Vol. 9 (2002), No. 3, Page 425--480.

Ito, Toshio
Splitting of Singular Fibers in Certain Holomorphic Fibrations
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Abstract:
We will consider splitting of certain singular fibers. The singular fibers dealt with in this paper are the singular fibers in certain holomorphic fibration of genus $g$ whose total space is diffeomorphic to $ \cp2 \# (4 g + 5) \bcp $. We study how these singular fibers split into Lefschetz type singular fibers. We also study the monodromies about the new Lefschetz type singular fibers obtained by splitting.

Mathematics Subject Classification (2000): Primary 14D05; Secondary 30F99, 32S30, 32S50, 57M99
Mathematical Reviews Number: MR1930415

Received: 2001-06-14