Fractional Dehn twists and modular invariants

被引：0
|
作者：
Xiao-Lei Liu [1 ]
机构：
[1] School of Mathematical Sciences,Dalian University of Technology
来源：
Science China(Mathematics) | 2021年 / 64卷 / 08期
基金：
中国国家自然科学基金;
关键词：
fractional Dehn twists; pseudo-periodic maps; modular invariants; families of curves;
D O I：
暂无
中图分类号：
O186.12 [黎曼几何];
学科分类号：
070104 ;
摘要：
In this paper, we establish a relationship between fractional Dehn twist coefficients of Riemann surface automorphisms and modular invariants of holomorphic families of algebraic curves. Specially, we give a characterization of pseudo-periodic maps with nontrivial fractional Dehn twist coefficients. We also obtain some uniform lower bounds of non-zero fractional Dehn twist coefficients.
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页码：1735 / 1744
页数：10
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