2 citations · 5 across the 16 of their papers we have counts for
14 papers · 1 filter
Tools for analyzing the intersection curve between a torus and a quadric through projection and lifting
Laureano Gonzalez-Vega, Jorge Caravantes, Gema M. Diaz-Toca +1
This article introduces efficient and user-friendly tools for analyzing the intersection curve between a ringed torus and an irreducible quadric surface. Without loose of generalit…
Closed formulae for multiple roots of univariate polynomials through subresultants
Jorge Caravantes, Gema M. Diaz-Toca, Laureano Gonzalez-Vega
The computation of the topology of a real algebraic plane curve is greatly simplified if there are no more than one critical point in each vertical line: the general position condi…
Birational Reparametrizations of Surfaces
Jorge Caravantes, Sonia Pérez-Díaz, J. Rafael Sendra
Given a unirational parameterization of a surface, we present a general algorithm to determine a birational parameterization without using parameterization algorithms. Additionally…
A note about rational surfaces as unions of affine planes
Jorge Caravantes, J. Rafael Sendra, David Sevilla +1
We prove that any smooth rational projective surface over the field of complex numbers has an open covering consisting of 3 subsets isomorphic to affine planes.
Covering rational surfaces with rational parametrization images
Jorge Caravantes, J. Rafael Sendra, David Sevilla +1
Let be a rational projective surface given by means of a projective rational parametrization whose base locus satisfies a mild assumption. In this paper we present an algorithm…
On the existence of birational surjective parametrizations of affine surfaces
Jorge Caravantes, J. Rafael Sendra, David Sevilla +1
In this paper we show that not all affine rational complex surfaces can be parametrized birationally and surjectively. For this purpose, we prove that, if S is an affine complex su…