RT info:eu-repo/semantics/article
T1 A Maple package to deal with the birationality of curves and surfaces parametrizations
A1 Caravantes Tortajada, Jorge
A1 Pérez Díaz, Sonia
A1 Sendra Pons, Juan Rafael
K1 Maple
K1 Symbolic computation
K1 Birational (proper) parametrization
K1 Algebraic curves
K1 Algebraic surfaces
K1 Matemáticas
K1 Mathematics
AB 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.
PB Springer
SN 978-3-030-81697-1
YR 2021
FD 2021-07-20
LK http://hdl.handle.net/10017/55152
UL http://hdl.handle.net/10017/55152
LA eng
NO Maple Conference 2020. Communications in Computer and Information Science book series (CCIS volume 1414)
NO Agencia Estatal de Investigación
DS MINDS@UW
RD 24-abr-2024