dc.creator | Ahmadi, Omran | es |
dc.creator | McGuire, Gary | es |
dc.creator | Rojas León, Antonio | es |
dc.date.accessioned | 2016-06-08T07:15:49Z | |
dc.date.available | 2016-06-08T07:15:49Z | |
dc.date.issued | 2015-11 | |
dc.identifier.citation | Ahmadi, O., McGuire, G. y Rojas León, A. (2015). Decomposing Jacobians of curves over finite fields in the absence of algebraic structure. Journal of Number Theory, 156, 414-431. | |
dc.identifier.issn | 1096-1658 | es |
dc.identifier.issn | 0022-314X | es |
dc.identifier.uri | http://hdl.handle.net/11441/42025 | |
dc.description.abstract | We consider the issue of when the L-polynomial of one curve over Fq divides the L-polynomial of another curve. We prove a theorem which shows that divisibility follows from a hypothesis that two curves have the same number of points over infinitely many extensions of a certain type, and one other assumption. We also present an application to a family of curves arising from a conjecture about exponential sums. We make our own conjecture about L-polynomials, and prove that this is equivalent to the exponential sums conjecture. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Number Theory, 156, 414-431. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | curve | es |
dc.subject | Jacobian | es |
dc.subject | supersingular | es |
dc.subject | finite field | es |
dc.subject | L-polynomial | es |
dc.title | Decomposing Jacobians of curves over finite fields in the absence of algebraic structure | 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 | MTM2010-19298 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jnt.2015.04.014 | |
dc.identifier.doi | 10.1016/j.jnt.2015.04.014 | es |
idus.format.extent | 20 p. | es |
dc.journaltitle | Journal of Number Theory | es |
dc.publication.volumen | 156 | es |
dc.publication.initialPage | 414 | es |
dc.publication.endPage | 431 | es |
dc.relation.publicationplace | Amsterdam | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42025 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | |