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2006-01-01Buch DOI: 10.18452/2744
A Geometric Interpretation of Reduction in the Jacobians of C ab Curves
dc.contributor.authorBlache, Régis
dc.contributor.authorSarlabous, Jorge Estrada
dc.contributor.authorPetkova, Maria
dc.date.accessioned2017-06-15T18:09:44Z
dc.date.available2017-06-15T18:09:44Z
dc.date.created2006-09-08
dc.date.issued2006-01-01
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3396
dc.description.abstractIn this paper, we show that the reduction of divisors in the Jacobian of a curve $C$ can be performed by considering the intersections of a suitable projective model of $C$ with quadrics in projective space. We apply this idea to certain projective model of elliptic and hyperelliptic curves on one hand, and to the canonical model of $C_{ab}$ curves on the other hand, and we generalize (and recover) some well known algorithms.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectJacobian Varietieseng
dc.subjectAddition Laweng
dc.subjectReduction Algorithmeng
dc.subjectC ab Curveseng
dc.subjectProjective Modeleng
dc.subject.ddc510 Mathematik
dc.titleA Geometric Interpretation of Reduction in the Jacobians of C ab Curves
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10068034
dc.identifier.doihttp://dx.doi.org/10.18452/2744
dc.subject.dnb27 Mathematik
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages14
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2006
local.edoc.container-issue16
local.edoc.container-year2006
local.edoc.container-erstkatid2075199-0

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