On p-hyperellipticity of doubly symmetric Riemann surfaces.

Título inglés	On p-hyperellipticity of doubly symmetric Riemann surfaces.
Título español	Sobre la p-hiperelipticidad de superficies de Riemann doblemente simétricas.
Autor/es	Kozlowska-Walania, Ewa
Organización	Inst. Math. Gdansk Univ., Gdansk, Polonia
Revista	0214-1493
Publicación	2007, 51 (2): 291-307, 8 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Studying commuting symmetries of p-hyperelliptic Riemann surfaces, Bujalance and Costa found in [3] upper bounds for the degree of hyperellipticity of the product of commuting (M - q)- and (M - q')-symmetries, depending on their separabilities. Here, we find necessary and sufficient conditions for an integer p to be the degree of hyperellipticity of the product of two such symmetries, taking into account their separabilities. We also give some results concerning the existence and uniqueness of symmetries from which we obtain a series of important results of Natanzon concerning M- and (M - 1)-symmetries.
Clasificación UNESCO	120209
Palabras clave español	Superficies Riemann ; Simetría ; Curvas algebraicas
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