Repositorio UFRO · Omeka S

HOMOLOGY GROUP AUTOMORPHISMS OF RIEMANN SURFACES

Primer Autor	Hidalgo, Ruben A.
Título	HOMOLOGY GROUP AUTOMORPHISMS OF RIEMANN SURFACES
Editorial	INDEPENDENT UNIV MOSCOW-IUM
Revista	MOSCOW MATHEMATICAL JOURNAL
Lenguaje	en
Resumen	If & UGamma, is a finitely generated Fuchsian group such that its derived subgroup & UGamma,' is co-compact and torsion free, then S =H2/& UGamma,' is a closed Riemann surface of genus g ?, 2 admitting the abelian group A = & UGamma,/& UGamma,' as a group of conformal automorphisms. We say that A is a homology group of S. A natural question is if S admits unique homology groups or not, in other words, if there are different Fuchsian groups & UGamma,1 and & UGamma,2 with & UGamma,'1 = & UGamma,'2? It is known that if & UGamma,1 and & UGamma,2 are both of the same signature (0, k, ... , k), for some k ?, 2, then the equality & UGamma,'1 = & UGamma,'2 ensures that & UGamma,1 = & UGamma,2. Generalizing this, we observe that if & UGamma,j has signature (0, kj, ..., kj) and & UGamma,'1 = & UGamma,'2, then & UGamma,1 = & UGamma,2. We also provide examples of surfaces S with different homology groups. A description of the normalizer in Aut(S) of each homology group A is also obtained.
Fecha Publicación	2023
Tipo de Recurso	artículo original
doi	10.17323/1609-4514-2023-23-1-113-120
Formato Recurso	PDF
Palabras Claves	Riemann surface automorphism Fuchsian group
Ubicación del archivo	http://dx.doi.org/10.17323/1609-4514-2023-23-1-113-120
Categoría OCDE	Matemáticas
Materias	superficie de Riemann automorfismo grupo fucsia
Página de inicio (Recomendado-único)	113.0
Página final (Recomendado-único)	120
Identificador del recurso (Mandatado-único)	artículo original
Versión del recurso (Recomendado-único)	versión publicada
Derechos de acceso	metadata
Identificador relacionado	https://arxiv.org/abs/2007.01778
Access Rights	metadata
Id de Web of Science	WOS:001052659800006
ISSN	1609-3321
Tipo de ruta	verde
Categoría WOS	Matemáticas
Referencia del Financiador (Mandatado si es aplicable-repetible)	ANID FONDECYT 1190001 ANID FONDECYT 1220261