Base field restriction techniques for parametric curves.

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dc.conference.dateJUL 29-31, 1999
dc.conference.placeVancouver, Canada
dc.conference.titleIssac 99: Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation
dc.contributor.authorAndradas Heranz, Carlos
dc.contributor.authorRecio, Tomás
dc.contributor.authorSendra, J. Rafael
dc.date.accessioned2023-06-20T16:50:27Z
dc.date.available2023-06-20T16:50:27Z
dc.date.issued1999
dc.descriptionInternational Symposium on Symbolic and Algebraic Computation, JUL 29-31, 1999 Vancouver,Canada
dc.description.abstractGiven a variety V, implicitly defined over an algebraic separable field extension k(alpha), A. Weil [5] developed a restriction technique (called by him a descente method),that associates to V a suitable k-variety W, such that many properties of V can be analyzed by merely looking at W, that is, by descending to the base field k. In this paper we present a parametric counterpart, for curves, of Weil's construction. As an application, we state some simple algorithmic criteria over the variety W that translate, for instance, the k-definability of a parametric curve V, or the existence of an infinite number of L-rational points in V.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGES
dc.description.sponsorshipDGESIC
dc.description.sponsorshipESPTINT-IV:"FRISCO"
dc.description.sponsorshipDGES
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14931
dc.identifier.officialurlhttps://dl.acm.org/citation.cfm?id=309845
dc.identifier.relatedurlhttp://www.acm.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57197
dc.journal.titleISSAC 99: PROCEEDINGS OF THE 1999 INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION
dc.language.isoeng
dc.page.final22
dc.page.initial17
dc.publisherAssociation for Computing Machinery
dc.relation.projectIDPB 95-0354
dc.relation.projectIDIFD-97-0409
dc.relation.projectIDPB 95-0563
dc.rights.accessRightsrestricted access
dc.subject.cdu512.7
dc.subject.keywordComputer Science
dc.subject.keywordTheory & Methods
dc.subject.keywordMathematica
dc.subject.keywordApplied
dc.subject.keywordMathematics
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleBase field restriction techniques for parametric curves.
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublicationa74c23fe-4059-4e73-806b-71967e14ab67
relation.isAuthorOfPublication.latestForDiscoverya74c23fe-4059-4e73-806b-71967e14ab67
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