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https://doi.org/10.1016/j.cagd.2020.101830
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| Título: | Computing the topology of a planar or space hyperelliptic curve |
| Fecha de publicación: | feb-2020 |
| Editorial: | Elsevier |
| Cita bibliográfica: | Computer Aided Geometric Design |
| Palabras clave: | Hyperelliptic curves Topology Birational mappings Complexity Algebraic curves |
| Resumen: | 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. |
| Autor/es principal/es: | Alcázar, Juan Gerardo Caravantes, Jorge Díaz Toca, Gema M. Tsigaridas, Elias |
| Facultad/Departamentos/Servicios: | Facultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU::Ingeniería y Tecnología de Computadores |
| URI: | http://hdl.handle.net/10201/136995 |
| DOI: | https://doi.org/10.1016/j.cagd.2020.101830 |
| Tipo de documento: | info:eu-repo/semantics/article |
| Número páginas / Extensión: | 38 |
| Derechos: | info:eu-repo/semantics/openAccess |
| Descripción: | ©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 |
| Aparece en las colecciones: | Artículos: Ingeniería y Tecnología de Computadores |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| Topology-hyperelliptic-curves-paper-second-rev-versl-DEF.pdf | 806,7 kB | Adobe PDF |  Visualizar/Abrir |
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