Riemann surfaces with real forms which have maximal cyclic symmetry

JOURNAL OF ALGEBRA

卷:283

Article

Bujalance, E ; Cirre, FJ ; Turbek, P

关键词: Riemann surface;    Klein surface;    real form;    automorphism group;   

DOI  :  10.1016/j.jalgebra.2004.09.010

来源: Elsevier

【 摘 要 】

We determine all the Klein surfaces which have a cyclic automorphism group of the maximum possible order, and find their topological types. We also compute their full automorphism groups and show that. except for a finite number of exceptions, they coincide with the full automorphism groups of their Riemann double covers. Explicit algebraic equations of the surfaces and the formulae of their real forms and automorphisms are also given. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free