On pq-hyperelliptic Riemann surfaces

Ewa Tyszkowska. "On pq-hyperelliptic Riemann surfaces." Colloquium Mathematicae 103.1 (2005): 115-120. <http://eudml.org/doc/286161>.

@article{EwaTyszkowska2005,
abstract = {A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ϱ, called a p-hyperelliptic involution, for which X/ϱ is an orbifold of genus p. If in addition X admits a q-hypereliptic involution then we say that X is pq-hyperelliptic. We give a necessary and sufficient condition on p,q and g for existence of a pq-hyperelliptic Riemann surface of genus g. Moreover we give some conditions under which p- and q-hyperelliptic involutions of a pq-hyperelliptic Riemann surface commute or are unique.},
author = {Ewa Tyszkowska},
journal = {Colloquium Mathematicae},
keywords = {-hyperelliptic surfaces; automorphisms of Riemann surfaces; fixed points of automorphisms},
language = {eng},
number = {1},
pages = {115-120},
title = {On pq-hyperelliptic Riemann surfaces},
url = {http://eudml.org/doc/286161},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Ewa Tyszkowska
TI - On pq-hyperelliptic Riemann surfaces
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 1
SP - 115
EP - 120
AB - A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ϱ, called a p-hyperelliptic involution, for which X/ϱ is an orbifold of genus p. If in addition X admits a q-hypereliptic involution then we say that X is pq-hyperelliptic. We give a necessary and sufficient condition on p,q and g for existence of a pq-hyperelliptic Riemann surface of genus g. Moreover we give some conditions under which p- and q-hyperelliptic involutions of a pq-hyperelliptic Riemann surface commute or are unique.
LA - eng
KW - -hyperelliptic surfaces; automorphisms of Riemann surfaces; fixed points of automorphisms
UR - http://eudml.org/doc/286161
ER -