On p-hyperellipticity of doubly symmetric Riemann surfaces.

Kozlowska-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 -