summary：

A degeneration of complex curves is a proper surjective holomorphic map

from a complex surface to a unit disk with a singular fiber over the

origin which is a fibration of complex curves out of the origin.

S. Takamura (Kyoto Univ.) introduced "barking deformations" --- a method

to obtain a deformation family of degenerations by perturbing the

equations locally determining the complex surface in a complex 3-mfd ---

and classified "atomic fibers", that is, unsplittable singular fibers,

by deforming given singular fibers into more simple ones.

What types of singular fibers appear under such deformations? I have

showed most cases for degenerations of elliptic curves. In this talk, I

will present this result with some examples, after I give a short

introduction to Takamura's theory.

744 Motooka, Nishi-ku

Fukuoka 819-0395, Japan

TEL (Office): +81-92-802-4402

FAX (Office): +81-92-802-4405

##### IMI(Institute of Mathematics for Industry)

# Seminar

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## Splitting singular fibers for degenerations of complex curves

Hold Date | 2011-06-17 16:00～2011-06-17 17:00 | |

Place | Lecture Room S-1, Faculty of Mathematics building, Ito Campus | |

Object person | ||

Speaker | Takayuki OKUDA (Kyushu University) | |