dc.creator | Rojas León, Antonio | es |
dc.date.accessioned | 2016-06-07T12:02:05Z | |
dc.date.available | 2016-06-07T12:02:05Z | |
dc.date.issued | 2013-01 | |
dc.identifier.citation | Rojas León, A. (2013). On the number of rational points on curves over finite fields with many automorphisms. Finite Fields and Their Applications, 19 (1), 1-15. | |
dc.identifier.issn | 1071-5797 | es |
dc.identifier.issn | 1090-2465 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42004 | |
dc.description.abstract | Using Weil descent, we give bounds for the number of rational points on two families of curves over finite fields with a large abelian group of automorphisms: Artin–Schreier curves of the form yq−y=f(x) with f∈Fqr[x], on which the additive group Fq acts, and Kummer curves of the form , which have an action of the multiplicative group . In both cases we can remove a factor from the Weil bound when q is sufficiently large. | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | 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 | Finite Fields and Their Applications, 19 (1), 1-15. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Point counting | es |
dc.subject | Weil bound | es |
dc.subject | ℓ-adic cohomology | es |
dc.subject | Weil descent | es |
dc.title | On the number of rational points on curves over finite fields with many automorphisms | 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 | P08-FQM-03894 | es |
dc.relation.projectID | MTM2007-66929 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.ffa.2012.11.001 | |
dc.identifier.doi | 10.1016/j.ffa.2012.11.001 | es |
dc.journaltitle | Finite Fields and Their Applications | es |
dc.publication.volumen | 19 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 15 | es |
dc.relation.publicationplace | Amsterdam | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42004 | |