21 citations · 98 across the 31 of their papers we have counts for
31 papers
Eigenvalues of Real Matrices with Prescribed Principal Minors Sign and Descartes Law of Signs
Laureano González-Vega, J. Rafael Sendra, Juana Sendra
In this paper, using Descartes law of sign, we provide elementary proof of results on the number of real eigenvalues of real matrices of which certain properties on the signs of th…
Rationality and Parametrizations of Algebraic Curves under Specializations
Sebastian Falkensteiner, Rafael Sendra
Rational algebraic curves have been intensively studied in the last decades, both from the theoretical and applied point of view. In applications (e.g. level curves, linear homotop…
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…
Computing Birational Polynomial Surface Parametrizations without Base Points
Sonia Pérez-Díaz, J. Rafael Sendra
In this paper, we present an algorithm for reparametrizing birational surface parametrizations into birational polynomial surface parametrizations without base points, if they exis…