DEGENERATING FAMILIES WITH FINITE MONODROMY GROUPS

被引：0
|
作者：
Okuda, Takayuki [1 ]
机构：
[1] Kogakuin Univ, Acad Support Ctr, 2665-1 Nakano, Hachioji, Tokyo 1920015, Japan
来源：
KODAI MATHEMATICAL JOURNAL | 2021年 / 44卷 / 01期
关键词：
Degeneration of Riemann surfaces; Holomorphic fibration; Monodromy; Mapping class group; Quotient family; Quotient singularity;
D O I：
10.2996/kmj44101
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A degenerating family of Riemann surfaces over a Riemann surface gives us a monodromy representation, which is a homomorphism from the fundamental group of a punctured surface to the mapping class group. We show that, given such a homomorphism, if its image is finite, then there exists an (isotrivial) degenerating family of Riemann surfaces whose monodromy representation coincides with it. Moreover, we discuss the special sections of such a degenerating family.
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页码：1 / 19
页数：19
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