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 | |