On conjugacy of p-gonal automorphisms of Riemann surfaces

Autores: Grzegorz Gromadzki
Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 21, Nº 1, 2008, págs. 83-87
Idioma: inglés
DOI: 10.5209/rev_rema.2008.v21.n1.16436
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Resumen
- The classical Castelnuovo-Severi theorem implies that for , a -gonal automorphism group of a cyclic -gonal Riemann surface of genus is unique. Here we deal with the case ; we give a new and short proof of a result of González-Diez that a cyclic -gonal Riemann surface of such genus has one conjugacy class of -gonal automorphism groups in the group of automorphisms of .