Large Galois images for Jacobian varieties of genus 3 curves

Arias de Reyna Domínguez, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila Oliva, Núria

doi:10.4064/aa8250-4-2016

Artículo

dc.creator	Arias de Reyna Domínguez, Sara	es
dc.creator	Armana, Cécile	es
dc.creator	Karemaker, Valentijn	es
dc.creator	Rebolledo, Marusia	es
dc.creator	Thomas, Lara	es
dc.creator	Vila Oliva, Núria	es
dc.date.accessioned	2016-10-13T07:29:38Z
dc.date.available	2016-10-13T07:29:38Z
dc.date.issued	2016
dc.identifier.citation	Arias de Reyna Domínguez, S., Armana, C., Karemaker, V., Rebolledo, M., Thomas, L. y Vila Oliva, N. (2016). Large Galois images for Jacobian varieties of genus 3 curves. Acta Arithmetica, 174 (4), 339-366.
dc.identifier.issn	0065-1036	es
dc.identifier.issn	1730-6264	es
dc.identifier.uri	http://hdl.handle.net/11441/47411
dc.description.abstract	Given a prime number ℓ ≥ 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois representation ρA,ℓ : GQ → GSp6 (Fℓ) attached to the ℓ-torsion of A is surjective. Any such variety A will be the Jacobian of a genus 3 curve over Q whose respective reductions at two auxiliary primes we prescribe to provide us with generators of Sp6 (Fℓ).	es
dc.description.sponsorship	Ministerio de Economía y Competitividad	es
dc.description.sponsorship	Université de Franche-Comté	es
dc.description.sponsorship	Agence nationale de la recherche	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Polish Academy of Sciences, Institute of Mathematics	es
dc.relation.ispartof	Acta Arithmetica, 174 (4), 339-366.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Galois representations	es
dc.subject	Abelian varieties	es
dc.subject	Genus 3 curves	es
dc.title	Large Galois images for Jacobian varieties of genus 3 curves	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de álgebra	es
dc.relation.projectID	info:eu-repo/grantAgreement/MTM2012-33830	es
dc.relation.projectID	BQR 2013	es
dc.relation.projectID	ANR-12-BS01-0002	es
dc.relation.publisherversion	https://www.impan.pl/shop/en/publication/transaction/download/product/91702	es
dc.identifier.doi	10.4064/aa8250-4-2016	es
dc.contributor.group	Universidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades	es
idus.format.extent	20 p.	es
dc.journaltitle	Acta Arithmetica	es
dc.publication.volumen	174	es
dc.publication.issue	4	es
dc.publication.initialPage	339	es
dc.publication.endPage	366	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/47411
dc.contributor.funder	Ministerio de Economía y Competitividad (MINECO). España
dc.contributor.funder	Université de Franche-Comté

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