Computing Birational Polynomial Surface Parametrizations without Base Points

2020/11/16 by Pérez-Díaz, Sonia, Sendra, J. Rafael
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.07794

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.

Related

• Birational Reparametrizations of Surfaces
• Covering Rational Ruled Surfaces
• Involutions of polynomially parametrized surfaces
• Birationally trivial real smooth cubic surfaces
• Parametrization of translational surfaces