Eventually minimal curves

dc.contributorUniversidade Federal de Santa Catarina (UFSC)
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:27:17Z
dc.date.accessioned2022-10-05T16:42:16Z
dc.date.available2014-05-20T15:27:17Z
dc.date.available2022-10-05T16:42:16Z
dc.date.created2014-05-20T15:27:17Z
dc.date.issued2005-04-01
dc.identifierBulletin of the Brazilian Mathematical Society. New York: Springer, v. 36, n. 1, p. 39-58, 2005.
dc.identifier1678-7544
dc.identifierhttp://hdl.handle.net/11449/37307
dc.identifier10.1007/s00574-005-0027-1
dc.identifierWOS:000229007700003
dc.identifier1404319585967080
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3908858
dc.description.abstractA curve defined over a finite field is maximal or minimal according to whether the number of rational points attains the upper or the lower bound in Hasse-Weil's theorem, respectively. In the study of maximal curves a fundamental role is played by an invariant linear system introduced by Ruck and Stichtenoth in [6]. In this paper we define an analogous invariant system for minimal curves, and we compute its orders and its Weierstrass points. In the last section we treat the case of curves having genus three in characteristic two.
dc.languageeng
dc.publisherSpringer
dc.relationBulletin of the Brazilian Mathematical Society
dc.relation0.410
dc.relation0,406
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectHasse-Weil bound
dc.subjectrational point
dc.subjectWeierstrass point
dc.subjectminimal curve
dc.subjectgap
dc.subjectgenus
dc.subjectzeta funtion
dc.titleEventually minimal curves
dc.typeArtigo


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