dc.creator | Arias de Reyna Domínguez, Sara | es |
dc.creator | Vila Oliva, Núria | es |
dc.date.accessioned | 2016-11-10T13:29:37Z | |
dc.date.available | 2016-11-10T13:29:37Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Arias 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.issn | 1073-7928 | es |
dc.identifier.issn | 1687-0247 | es |
dc.identifier.uri | http://hdl.handle.net/11441/48442 | |
dc.description.abstract | In 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.sponsorship | Ministerio de Educación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Oxford University Press | es |
dc.relation.ispartof | International Mathematics Research Notices, 2011 (9), 2028-2046. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Tame Galois realizations of GSp4 (Fℓ) over Q | 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 | AP-20040601 | es |
dc.relation.projectID | MTM2006-04895 | es |
dc.relation.publisherversion | https://imrn.oxfordjournals.org/content/2011/9/2028.full.pdf+html?sid=ee10ed15-ff9b-44bd-8e1c-83528b70b798 | es |
dc.identifier.doi | 10.1093/imrn/rnq144 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Geometría Algebraica, Sistemas Diferenciales y Singularidades | es |
idus.format.extent | 29 p. | es |
dc.journaltitle | International Mathematics Research Notices | es |
dc.publication.volumen | 2011 | es |
dc.publication.issue | 9 | es |
dc.publication.initialPage | 2028 | es |
dc.publication.endPage | 2046 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/48442 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |