# On pq-hyperelliptic Riemann surfaces

Colloquium Mathematicae (2005)

- Volume: 103, Issue: 1, page 115-120
- ISSN: 0010-1354

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topEwa 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 -

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