On certain curves of genus three in characteristic two

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dc.contributor.authorRodriguez, Jaime E. A. [UNESP]
dc.contributor.authorLa Torre, Oscar Paz
dc.contributor.authorMartins, Renato Vidal
dc.contributor.authorViana, Paulo Henrique
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Estadual Norte Fluminense Darcy Ribeiro
dc.contributor.institutionUniversidade Federal de Minas Gerais (UFMG)
dc.date.accessioned2014-05-20T13:30:55Z
dc.date.available2014-05-20T13:30:55Z
dc.date.issued2008-03-01
dc.description.abstractWe study curves of genus 3 over algebraically closed fields of characteristic 2 with the canonical theta characteristic totally supported in one point. We compute the moduli dimension of such curves and focus on some of them which have two Weierstrass points with Weierstrass directions towards the support of the theta characteristic. We answer questions related to order sequence and Weierstrass weight of Weierstrass points and the existence of other Weierstrass points with similar properties.en
dc.description.affiliationUNESP, FEIS, Dept Matemat, BR-15385000 Ilha Solteira, SP, Brazil
dc.description.affiliationUniv Estadual Norte Fluminense Darcy Ribeiro, LCMAT, BR-2813600 Campos Dos Goytacazes, RJ, Brazil
dc.description.affiliationUniversidade Federal de Minas Gerais (UFMG), ICEx, Dept Matemat, BR-30123970 Belo Horizonte, MG, Brazil
dc.description.affiliationUnespUNESP, FEIS, Dept Matemat, BR-15385000 Ilha Solteira, SP, Brazil
dc.format.extent137-155
dc.identifierhttp://dx.doi.org/10.1007/s00574-008-0076-3
dc.identifier.citationBulletin of The Brazilian Mathematical Society. New York: Springer, v. 39, n. 1, p. 137-155, 2008.
dc.identifier.doi10.1007/s00574-008-0076-3
dc.identifier.issn1678-7544
dc.identifier.urihttp://hdl.handle.net/11449/10528
dc.identifier.wosWOS:000254916200009
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofBulletin of the Brazilian Mathematical Society
dc.relation.ispartofjcr0.410
dc.relation.ispartofsjr0,406
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectcurves of genus threeen
dc.subjectcharacteristic twoen
dc.subjecttheta characteristicen
dc.titleOn certain curves of genus three in characteristic twoen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Ilha Solteirapt
unesp.departmentMatemática - FEISpt

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Ilha Solteira - FEIS - Faculdade de Engenharia