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dc.rights.licenseAtribución-NoComercial 4.0 Internacional
dc.contributor.authorZúñiga Galindo, Wilson Alvaro
dc.date.accessioned2019-06-28T12:17:40Z
dc.date.available2019-06-28T12:17:40Z
dc.date.issued1997
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/43675
dc.description.abstractLet X be a complete, geometrically irreducible, algebraic curve defined over a finite field Fq and let ς (X,t) be its zeta function [Ser1], If X is a singular curve, two other zeta functions exist. The first is the Dirichlet series Z(Ca(X), t) associated to the effective Cartier divisors on X; the second is the Dirichlet series Z(Div(X),t) associated to the effective divisors on X, In this paper we generalize F. K. Schmidt's results on the rationality and functional equation of the zeta function ς(X, t) of a non-singular curve to the functions Z(Ca(X), t) and Z(Div(X), t) by means ofthe singular Riemann-Roch theorem.
dc.format.mimetypeapplication/pdf
dc.language.isospa
dc.publisherUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
dc.relationhttp://revistas.unal.edu.co/index.php/recolma/article/view/33674
dc.relation.ispartofUniversidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
dc.relation.ispartofRevista Colombiana de Matemáticas
dc.relation.ispartofseriesRevista Colombiana de Matemáticas; Vol. 31, núm. 2 (1997); 115-124 0034-7426
dc.rightsDerechos reservados - Universidad Nacional de Colombia
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.titleZeta functions of singular curves over finite fields
dc.typeArtículo de revista
dc.type.driverinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.eprintshttp://bdigital.unal.edu.co/33773/
dc.relation.referencesZúñiga Galindo, Wilson Alvaro (1997) Zeta functions of singular curves over finite fields. Revista Colombiana de Matemáticas; Vol. 31, núm. 2 (1997); 115-124 0034-7426 .
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.subject.proposalZeta functions
dc.subject.proposalfinite fields
dc.subject.proposalsingular curves
dc.subject.proposalgeneralized Jacobians
dc.subject.proposalcompactified Jacobians
dc.type.coarhttp://purl.org/coar/resource_type/c_6501
dc.type.coarversionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.contentText
dc.type.redcolhttp://purl.org/redcol/resource_type/ART
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2


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Atribución-NoComercial 4.0 InternacionalThis work is licensed under a Creative Commons Reconocimiento-NoComercial 4.0.This document has been deposited by the author (s) under the following certificate of deposit