Computing birational polynomial surface parametrizations without base points
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/49502DOI: 10.3390/math8122224
ISSN: 2227-7390
Publisher
MDPI
Date
2020-12-14Funders
Agencia Estatal de Investigación
Bibliographic citation
Pérez Díaz, S. & Sendra, J.R. 2020, "Computing birational polynomial surface parametrizations without base points", Mathematics, vol. 8, no. 12.
Keywords
Proper (i.e., birational) parametrization
Polynomial parametrization
Base point
Project
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/
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
https://doi.org/10.3390/math8122224Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Access rights
info:eu-repo/semantics/openAccess
Abstract
In this paper, we present an algorithm for reparametrizing birational surface parametrizations into birational polynomial surface parametrizations without base points, if they exist. For this purpose, we impose a transversality condition to the base points of the input parametrization.
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