A Maple package to deal with the birationality of curves and surfaces parametrizations
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/55152DOI: 10.1007/978-3-030-81698-8_10
ISBN: 978-3-030-81697-1
Editor
Springer
Fecha de publicación
2021-07-20Patrocinadores
Agencia Estatal de Investigación
Cita bibliográfica
Caravantes, J., Pérez Díaz, S. & Sendra, J.R. 2020, “A Maple package to deal with the birationality of curves and surfaces parametrizations”, in MC 2020: Maple in Mathematics Education and Research, pp. 137-151.
Palabras clave
Maple
Symbolic computation
Birational (proper) parametrization
Algebraic curves
Algebraic surfaces
Descripción
Maple Conference 2020. Communications in Computer and Information Science book series (CCIS volume 1414)
Proyectos
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88796-P/ES/COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONES/
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1007/978-3-030-81698-8_10Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2020 Springer
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
In this paper we present the Maple package Luroth for dealing with the birationality of curves and surfaces parametrizations. The procedures in the package decide whether a given, either curve or surface, parametrization is injective by computing its degree map. In addition, if the parametrization is not injective, it determines a birational reparametrization. For the curve case, the corresponding command always provides an optional answer. For the surface case, not all cases are covered. Nevertheless, we illustrate using Maple some new ideas on how to approach those surface cases not covered in the package.
Ficheros en el ítem
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Maple_Caravantes_MC_2020.pdf | 1.705Mb |
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Maple_Caravantes_MC_2020.pdf | 1.705Mb |
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