Gaps in the space of skeletal signatures

被引：0

作者：

Anderson, James W. ^{[1
]}

Wootton, Aaron ^{[2
]}

机构：

[1] Univ Southampton, Southampton SO17 1BJ, Hants, England

[2] Univ Portland, Dept Math, Portland, OR 97203 USA

来源：

ARCHIV DER MATHEMATIK | 2014年 / 102卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Riemann surface; Automorphism; Signature; Mapping class group; Skeletal signature; COMPACT RIEMANN SURFACE; NUMBER;

D O I：

10.1007/s00013-014-0607-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Skeletal signatures were introduced in Anderson and Wootton (see [1]) as a tool to describe the space of all signatures with which a group can act on a surface of genus sigma a parts per thousand yen 2. In the present paper, we provide an essentially complete description of the regular gaps that appear in the space of skeletal signatures, together with proofs of those parts of the conjectures posed in Anderson and Wootton (see [1]) related to these regular gaps.

引用

页码：181 / 190

页数：10

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