Computing the topology of a planar or space hyperelliptic curve

Alcázar, Juan Gerardo; Caravantes, Jorge; Díaz Toca, Gema M.; Tsigaridas, Elias

Publication:
Computing the topology of a planar or space hyperelliptic curve

dc.contributor.author	Alcázar, Juan Gerardo
dc.contributor.author	Caravantes, Jorge
dc.contributor.author	Díaz Toca, Gema M.
dc.contributor.author	Tsigaridas, Elias
dc.contributor.department	Ingeniería y Tecnología de Computadores
dc.date.accessioned	2024-01-03T13:14:52Z
dc.date.available	2024-01-03T13:14:52Z
dc.date.issued	2020-02
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.2020.101830	es
dc.description.abstract	We 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.format	application/pdf	es
dc.format.extent	38	es
dc.identifier.citation	Computer Aided Geometric Design
dc.identifier.doi	https://doi.org/10.1016/j.cagd.2020.101830
dc.identifier.uri	http://hdl.handle.net/10201/136995
dc.language	eng	es
dc.publisher	Elsevier	es
dc.relation	Supported 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.rights	info:eu-repo/semantics/openAccess	es
dc.subject	Hyperelliptic curves	es
dc.subject	Topology	es
dc.subject	Birational mappings	es
dc.subject	Complexity	es
dc.subject	Algebraic curves	es
dc.title	Computing the topology of a planar or space hyperelliptic curve	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es