dc.creator | Arias de Reyna Domínguez, Sara | es |
dc.creator | Gajda, Wojciech J. | es |
dc.creator | Petersen, Sebastian | es |
dc.date.accessioned | 2016-10-13T07:13:41Z | |
dc.date.available | 2016-10-13T07:13:41Z | |
dc.date.issued | 2013-02 | |
dc.identifier.citation | Arias de Reyna Domínguez, S., Gajda, W.J. y Petersen, S. (2013). Big monodromy theorem for abelian varieties over finitely generated fields. Journal of Pure and Applied Algebra, 217 (2), 218-229. | |
dc.identifier.issn | 0022-4049 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47408 | |
dc.description.abstract | An abelian variety over a field K is said to have big monodromy, if the image of the Galois representation on ℓ-torsion points, for almost all primes ℓ, contains the full symplectic group. We prove that all abelian varieties over a finitely generated field K with the endomorphism ring Z and semistable reduction of toric dimension one at a place of the base field K have big monodromy. We make no assumption on the transcendence degree or on the characteristic of K. This generalizes a recent result of Chris Hall. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Deutsche Forschungsgemeinschaft | es |
dc.description.sponsorship | Alexander von Humboldt Research Fellowship | es |
dc.description.sponsorship | Ministry of Science and Higher Education (Poland) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Pure and Applied Algebra, 217 (2), 218-229. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Abelian variety | es |
dc.subject | Galois representation | es |
dc.title | Big monodromy theorem for abelian varieties over finitely generated fields | es |
dc.type | info:eu-repo/semantics/article | es |
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 | MTM2009-07024 | es |
dc.relation.projectID | GR 998/5-1 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0022404912002009/1-s2.0-S0022404912002009-main.pdf?_tid=1ab52406-9114-11e6-bd79-00000aacb35e&acdnat=1476342801_a618efec0006ef60d39be86970b422d1 | es |
dc.identifier.doi | 10.1016/j.jpaa.2012.06.010 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades | es |
idus.format.extent | 24 p. | es |
dc.journaltitle | Journal of Pure and Applied Algebra | es |
dc.publication.volumen | 217 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 218 | es |
dc.publication.endPage | 229 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47408 | |