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.

引用

页码：1 / 19

页数：19

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