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Por favor, use este identificador para citar o enlazar este ítem: https://doi.org/10.1016/j.cagd.2020.101830

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dc.contributor.authorAlcázar, Juan Gerardo-
dc.contributor.authorCaravantes, Jorge-
dc.contributor.authorDíaz Toca, Gema M.-
dc.contributor.authorTsigaridas, Elias-
dc.contributor.otherFacultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU::Ingeniería y Tecnología de Computadoreses
dc.date.accessioned2024-01-03T13:14:52Z-
dc.date.available2024-01-03T13:14:52Z-
dc.date.issued2020-02-
dc.identifier.citationComputer Aided Geometric Designes
dc.identifier.urihttp://hdl.handle.net/10201/136995-
dc.description©2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Accepted version of a Published Work that appeared in final form inComputer Aided Geometric Design. To access the final edited and published work see https://doi.org/10.1016/j.cagd.2020.101830es
dc.description.abstractWe present algorithms to compute the topology of 2D and 3D hyperelliptic curves. The algorithms are based on the fact that 2D and 3D hyperelliptic curves can be seen as the image of a planar curve (the Weierstrass form of the curve), whose topology is easy to compute, under a birational mapping of the plane or the space. We report on a Maple implementation of these algorithms, and present several examples. Complexity and certification issues are also discussed.es
dc.formatapplication/pdfes
dc.format.extent38es
dc.languageenges
dc.publisherElsevieres
dc.relationSupported by the Spanish Ministerio de Ciencia, Innovación y Universidades and by the European Regional Development Fund (ERDF), under the project MTM2017-88796-P.es
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.subjectHyperelliptic curveses
dc.subjectTopologyes
dc.subjectBirational mappingses
dc.subjectComplexityes
dc.subjectAlgebraic curveses
dc.titleComputing the topology of a planar or space hyperelliptic curvees
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doihttps://doi.org/10.1016/j.cagd.2020.101830-
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