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dc.creatorArias de Reyna Domínguez, Saraes
dc.creatorVila Oliva, Núriaes
dc.date.accessioned2016-11-10T13:29:37Z
dc.date.available2016-11-10T13:29:37Z
dc.date.issued2011
dc.identifier.citationArias de Reyna Domínguez, S. y Vila Oliva, N. (2011). Tame Galois realizations of GSp4 (Fℓ) over Q. International Mathematics Research Notices, 2011 (9), 2028-2046.
dc.identifier.issn1073-7928es
dc.identifier.issn1687-0247es
dc.identifier.urihttp://hdl.handle.net/11441/48442
dc.description.abstractIn this paper we obtain realizations of the 4-dimensional general symplectic group over a prime field of characteristic ℓ > 3 as the Galois group of a tamely ramified Galois extension of Q. The strategy is to consider the Galois representation ρℓ attached to the Tate module at ℓ of a suitable abelian surface. We need to choose the abelian varieties carefully in order to ensure that the image of ρℓ is large and simultaneously maintain a control on the ramification of the corresponding Galois extension. We obtain an explicit family of curves of genus 2 such that the Galois representation attached to the ℓ-torsion points of their Jacobian varieties provide tame Galois realizations of the desired symplectic groups.es
dc.description.sponsorshipMinisterio de Educación y Cienciaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherOxford University Presses
dc.relation.ispartofInternational Mathematics Research Notices, 2011 (9), 2028-2046.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleTame Galois realizations of GSp4 (Fℓ) over Qes
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de álgebraes
dc.relation.projectIDAP-20040601es
dc.relation.projectIDMTM2006-04895es
dc.relation.publisherversionhttps://imrn.oxfordjournals.org/content/2011/9/2028.full.pdf+html?sid=ee10ed15-ff9b-44bd-8e1c-83528b70b798es
dc.identifier.doi10.1093/imrn/rnq144es
dc.contributor.groupUniversidad de Sevilla. FQM218: Geometría Algebraica, Sistemas Diferenciales y Singularidadeses
idus.format.extent29 p.es
dc.journaltitleInternational Mathematics Research Noticeses
dc.publication.volumen2011es
dc.publication.issue9es
dc.publication.initialPage2028es
dc.publication.endPage2046es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/48442
dc.contributor.funderMinisterio de Educación y Ciencia (MEC). España

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