# On p-hyperellipticity of doubly symmetric Riemann surfaces.

Publicacions Matemàtiques (2007)

- Volume: 51, Issue: 2, page 291-307
- ISSN: 0214-1493

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topKozlowska-Walania, Ewa. "On p-hyperellipticity of doubly symmetric Riemann surfaces.." Publicacions Matemàtiques 51.2 (2007): 291-307. <http://eudml.org/doc/41896>.

@article{Kozlowska2007,

abstract = {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.},

author = {Kozlowska-Walania, Ewa},

journal = {Publicacions Matemàtiques},

keywords = {Superficies Riemann; Simetría; Curvas algebraicas; oval of a symmetry of a Riemann surface; NEC group},

language = {eng},

number = {2},

pages = {291-307},

title = {On p-hyperellipticity of doubly symmetric Riemann surfaces.},

url = {http://eudml.org/doc/41896},

volume = {51},

year = {2007},

}

TY - JOUR

AU - Kozlowska-Walania, Ewa

TI - On p-hyperellipticity of doubly symmetric Riemann surfaces.

JO - Publicacions Matemàtiques

PY - 2007

VL - 51

IS - 2

SP - 291

EP - 307

AB - 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.

LA - eng

KW - Superficies Riemann; Simetría; Curvas algebraicas; oval of a symmetry of a Riemann surface; NEC group

UR - http://eudml.org/doc/41896

ER -

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