ON SYMMETRIES OF PQ-HYPERELLIPTIC RIEMANN SURFACES

A symmetry of a Riemann surface X is an antiholomorphic involution phi. The species of phi is the integer ek, where k is the number of connected components in the set Fix(phi) of fixed points of f and e = -1 if X \ Fix(phi) is connected and epsilon = 1 otherwise. A compact Riemann surface X of genus...

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Autor principal:	TYSZKOWSKA,EWA
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2006
Materias:	p-hyperelliptic Riemann surface automorphisms of Riemann surface fixed points of automorphism symmetry
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200004
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spelling	oai:scielo:S0716-091720060002000042006-08-24ON SYMMETRIES OF PQ-HYPERELLIPTIC RIEMANN SURFACESTYSZKOWSKA,EWA p-hyperelliptic Riemann surface automorphisms of Riemann surface fixed points of automorphism symmetry A symmetry of a Riemann surface X is an antiholomorphic involution phi. The species of phi is the integer ek, where k is the number of connected components in the set Fix(phi) of fixed points of f and e = -1 if X \ Fix(phi) is connected and epsilon = 1 otherwise. A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if it admits a conformal involution ?, called a p-hyperelliptic involution, for which X/? is an orbifold of genus p. Symmetries of p-hyperelliptic Riemann surfaces has been studied by Klein for p = 0 and by Bujalance and Costa for p > 0. Here we study the species of symmetries of so called pq-hyperelliptic surface defined as a Riemann surface which is p- and q-hyperelliptic simultaneouslyinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.25 n.2 20062006-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200004en10.4067/S0716-09172006000200004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	p-hyperelliptic Riemann surface automorphisms of Riemann surface fixed points of automorphism symmetry
spellingShingle	p-hyperelliptic Riemann surface automorphisms of Riemann surface fixed points of automorphism symmetry TYSZKOWSKA,EWA ON SYMMETRIES OF PQ-HYPERELLIPTIC RIEMANN SURFACES
description	A symmetry of a Riemann surface X is an antiholomorphic involution phi. The species of phi is the integer ek, where k is the number of connected components in the set Fix(phi) of fixed points of f and e = -1 if X \ Fix(phi) is connected and epsilon = 1 otherwise. A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if it admits a conformal involution ?, called a p-hyperelliptic involution, for which X/? is an orbifold of genus p. Symmetries of p-hyperelliptic Riemann surfaces has been studied by Klein for p = 0 and by Bujalance and Costa for p > 0. Here we study the species of symmetries of so called pq-hyperelliptic surface defined as a Riemann surface which is p- and q-hyperelliptic simultaneously
author	TYSZKOWSKA,EWA
author_facet	TYSZKOWSKA,EWA
author_sort	TYSZKOWSKA,EWA
title	ON SYMMETRIES OF PQ-HYPERELLIPTIC RIEMANN SURFACES
title_short	ON SYMMETRIES OF PQ-HYPERELLIPTIC RIEMANN SURFACES
title_full	ON SYMMETRIES OF PQ-HYPERELLIPTIC RIEMANN SURFACES
title_fullStr	ON SYMMETRIES OF PQ-HYPERELLIPTIC RIEMANN SURFACES
title_full_unstemmed	ON SYMMETRIES OF PQ-HYPERELLIPTIC RIEMANN SURFACES
title_sort	on symmetries of pq-hyperelliptic riemann surfaces
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2006
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200004
work_keys_str_mv	AT tyszkowskaewa onsymmetriesofpqhyperellipticriemannsurfaces
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ON SYMMETRIES OF PQ-HYPERELLIPTIC RIEMANN SURFACES

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