Repositorio UFRO · Omeka S

Abelian varieties and Riemann surfaces with generalized quaternion group action

Primer Autor	Reyes-Carocca, Sebastian
Co-autores	Carocca, Angel Rodriguez, Rubi E.
Título	Abelian varieties and Riemann surfaces with generalized quaternion group action
Editorial	ELSEVIER
Revista	JOURNAL OF PURE AND APPLIED ALGEBRA
Lenguaje	en
Resumen	We consider abelian varieties with a group of automorphisms isomorphic to a generalized quaternion group. We provide isogeny decompositions, compute dimensions of the corresponding factors and give conditions under which this decomposition is nontrivial. We then specialize our results to Jacobians and relate them to the so-called genus-zero actions on Riemann surfaces. A complete classification of uniparametric families of Riemann surfaces with a generalized quaternion group action is given, extending known results for the quasiplatonic case. Finally, we construct explicit families of abelian varieties with a quaternion group action and derive a period matrix for the Jacobian of the surface with full automorphism group of second largest order among the hyperelliptic surfaces of genus four.(c) 2023 Elsevier B.V. All rights reserved.
Fecha Publicación	2023
Tipo de Recurso	artículo original
doi	10.1016/j.jpaa.2023.107398
Formato Recurso	PDF
Palabras Claves	Riemann surfaces Abelian varieties Group actions Automorphisms
Ubicación del archivo	http://dx.doi.org/10.1016/j.jpaa.2023.107398
Categoría OCDE	Matemáticas
Materias	superficies de Riemann Variedades abelianas Acciones grupales Automorfismos
Identificador del recurso (Mandatado-único)	artículo original
Versión del recurso (Recomendado-único)	versión publicada
Derechos de acceso	metadata
Access Rights	metadata
Id de Web of Science	WOS:000989799700001
ISSN	0022-4049
Tipo de ruta	Green Submitted
Categoría WOS	Matemáticas
Referencia del Financiador (Mandatado si es aplicable-repetible)	ANID-FONDECYT 1200608 ANID-FONDECYT 1220099ANID-FONDECYT 1230708