Algebraic curves, Riemann surfaces and Klein surfaces with no non-trivial automorphisms or symmetries

被引:2
作者
Turbek, P [1 ]
机构
[1] Purdue Univ Calumet, Dept Math Stat & Comp Sci, Hammond, IN 46323 USA
关键词
algebraic curves; automorphisms; Riemann surface; Klein surface;
D O I
10.1017/S0013091599001364
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The explicit defining equations of a new family of curves whose members have a trivial automorphism group are given. Each member is defined for characteristic zero and all but a finite number of characteristics greater than zero. This family, in conjunction with a previously appearing family of the author's, provides explicit examples of algebraic curves which possess only the trivial automorphism for each genus greater than three. The family is then used to construct Riemann surfaces without anticonformal automorphisms and Klein surfaces with no non-trivial automorphisms.
引用
收藏
页码:141 / 148
页数:8
相关论文
共 10 条
[1]  
ACCOLA RDM, 1970, P AM MATH SOC, V26, P315
[2]  
CRONHEIM A, 1958, MATH NACHR, V18, P99
[3]   A family of conformally asymmetric Riemann surfaces [J].
Everitt, B .
GLASGOW MATHEMATICAL JOURNAL, 1997, 39 :221-225
[4]  
FARKAS HM, 1991, GRADUATE TEXTS MATH, V71
[5]  
Fulton William, 1969, Algebraic curves: An introduction to algebraic geometry
[6]  
MADDEN DJ, 1983, J REINE ANGEW MATH, V343, P162
[7]  
MEDNYKH A, 1988, DEFORMATIONS MATH ST, P115
[8]  
NIVEN I, 1966, INTRO THEORY NUMBERS
[10]  
[No title captured]