Repositorio UFRO · Omeka S

ORBIFOLDS WITH SIGNATURE (0; k, kn-1, kn, kn)

Primer Autor	Carocca, Angel
Co-autores	Hidalgo, Ruben A. Rodriguez, Rubi E.
Título	ORBIFOLDS WITH SIGNATURE (0; k, kn-1, kn, kn)
Editorial	PACIFIC JOURNAL MATHEMATICS
Revista	PACIFIC JOURNAL OF MATHEMATICS
Lenguaje	en
Resumen	Two interesting problems that arise in the theory of closed Riemann surfaces are (i) computing algebraic curves representing the surface and (ii) deciding if the field of moduli is a field of definition. In this paper we consider pairs (S, H), where S is a closed Riemann surface and H is a subgroup of Aut(S), the group of automorphisms of S, so that S/H is an orbifold with signature (0; k, k(n-1), k(n), k(n)) where k, n >= 2 are integers. In the case that S is the highest abelian branched cover of S/H we provide explicit algebraic curves representing S. In the case that k is an odd prime, we also describe algebraic curves for some intermediate abelian covers. For k = p >= 3 a prime and H a p-group, we prove that H is a p-Sylow subgroup of Aut (S), and if p >= 7 we prove that H is normal in Aut(S). Also, when n not equal 3 we prove that the field of moduli in such cases is a field of definition. If, moreover, S is the highest abelian branched cover of S/H, then we compute explicitly the field of moduli.
Tipo de Recurso	Artículo original
Description	Carocca and Rodriguez were supported by Fondecyt grants 1095165 and 1100767. Hidalgo was supported by Fondecyt grant 1110001 and UTFSM grant 12.11.01. Carocca y Rodríguez recibieron apoyo de las becas 1095165 y 1100767 de Fondecyt. Hidalgo recibió apoyo de la beca 1110001 de Fondecyt y de la beca 12.11.01 de UTFSM.
doi	10.2140/pjm.2013.263.53
Formato Recurso	pdf
Palabras Claves	algebraic curves Riemann Surfaces automorphisms field of moduli MODULI FIELDS AUTOMORPHISMS curvas algebraicas superficies de Riemann automorfismos campo de módulos MÓDULOS CAMPOS AUTOMORFISMOS
Ubicación del archivo	http://dx.doi.org/10.2140/pjm.2013.263.53
Materias	algebraic curves Riemann Surfaces automorphisms field of moduli MODULI FIELDS AUTOMORPHISMS curvas algebraicas superficies de Riemann automorfismos campo de módulos MÓDULOS CAMPOS AUTOMORFISMOS
Disciplinas de la OCDE	Matemáticas Puras
Título de la cita (Recomendado-único)	ORBIFOLDS WITH SIGNATURE (0; k, kn-1, kn, kn)
Revista/Libro	PACIFIC JOURNAL OF MATHEMATICS
Tipo de ruta	diamante verde
Access Rights	acceso abierto
Derechos de acceso	acceso abierto
Idioma	en
Identificador del recurso (Mandatado-único)	Artículo original
Versión del recurso (Recomendado-único)	versión publicada
Entidad financiadora	ANID CONICYT FONDECYT 1095165#ANID CONICYT FONDECYT 1100767#ANID CONICYT FONDECYT 1110001#UTFSM 12.11.01
Referencia del Financiador (Mandatado si es aplicable-repetible)	ANID CONICYT FONDECYT 1095165 ANID CONICYT FONDECYT 1100767 ANID CONICYT FONDECYT 1110001 UTFSM 12.11.01
Editorial	PACIFIC JOURNAL MATHEMATICS
ISSN	0030-8730
Página de inicio (Recomendado-único)	53
Página final (Recomendado-único)	85
Categoría WOS	Matemáticas Mathematics
Formato	pdf
Id de Web of Science	WOS:000320226000004