ON PERIODIC MAPS OVER SURFACES WITH LARGE PERIODS

被引：11

作者：

Hirose, Susumu ^{[1
]}

机构：

[1] Saga Univ, Dept Math, Fac Sci & Engn, Saga 8408502, Japan

来源：

TOHOKU MATHEMATICAL JOURNAL | 2010年 / 62卷 / 01期

基金：

日本学术振兴会;

关键词：

AUTOMORPHISMS;

D O I：

10.2748/tmj/1270041026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Kulkarni showed that, if g is greater than three, any periodic map on the oriented surface of genus g with period more than or equal to 4g is conjugate to a power of one of two types of periodic maps. In this paper, we show that, if g is greater than 12, any periodic map on the surface with period more than or equal to 3g is conjugate to a power of one of four types of periodic maps.

引用

页码：45 / 53

页数：9

共 12 条

[1] Classification of degenerations of curves of genus three via Matsumoto-Montesinos' theorem [J].

Ashikaga, T ;

Ishizaka, M .

TOHOKU MATHEMATICAL JOURNAL, 2002, 54 (02) :195-226

[2] CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE [J].

HARVEY, WJ .

QUARTERLY JOURNAL OF MATHEMATICS, 1966, 17 (66) :86-&

[3]

HIROSE S, OSAKA J MAT IN PRESS

[4]

Hurwitz A., 1891, Math. Ann., V39, P1, DOI 10.1007/BF01199469

[5]

Ishizaka M, 2007, REV MAT COMPLUT, V20, P483

[6]

KASAHARA Y, 1991, OSAKA J MATH, V28, P985

[7]

Kulkarni S., 1997, CONT MATH, V201, P63

[8]

Nielsen J., 1937, STRUKTUR PERIODISCHE, V11

[9]

SMITH PA, 1967, MICH MATH J, V14, P257

[10] ON THE GEOMETRY AND DYNAMICS OF DIFFEOMORPHISMS OF SURFACES [J].

THURSTON, WP .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 19 (02) :417-431

← 1 2 →