Publicaciones (32) Publicaciones de Carlos Villarino Cabellos

2024

  1. Sufficient conditions for the surjectivity of radical curve parametrizations

    Journal of Algebra, Vol. 640, pp. 129-146

2023

  1. A note about rational surfaces as unions of affine planes

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 117, Núm. 2

2021

  1. Covering rational surfaces with rational parametrization images

    Mathematics, Vol. 9, Núm. 4, pp. 1-15

  2. Transforming ODEs and PDEs from Radical Coefficients to Rational Coefficients

    Mediterranean Journal of Mathematics, Vol. 18, Núm. 3

2018

  1. On the existence of birational surjective parametrizations of affine surfaces

    Journal of Algebra, Vol. 501, pp. 206-214

  2. Rational reparametrization of odes with radical coefficients

    Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, Núm. 43, pp. 135-138

  3. The importance of being Zero∗

    Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

2017

  1. Algebraic and algorithmic aspects of radical parametrizations

    Computer Aided Geometric Design, Vol. 55, pp. 1-14

  2. Covering rational ruled surfaces

    Mathematics of Computation, Vol. 86, Núm. 308, pp. 2861-2875

2016

  1. Algebraic aspects of radical parametrizations

    XV Encuentro de Álgebra computacional y aplicaciones: EACA 2016

  2. On tubular vs. swung surfaces

    Journal of Symbolic Computation, Vol. 72, pp. 55-64

2015

  1. Computing the singularities of rational surfaces

    Mathematics of Computation, Vol. 84, Núm. 294, pp. 1991-2021

  2. Missing sets in rational parametrizations of surfaces of revolution

    CAD Computer Aided Design, Vol. 66, pp. 55-61

  3. Some results on the surjectivity of surface parametrizations

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

2014

  1. A critical set of revolution surface parametrizations

    Encuentros de Algebra Computacional y aplicaciones: Barcelona 2014

  2. Covering of surfaces parametrized without projective base points

    Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

  3. Factoring analytic multivariate polynomials and non-standard Cauchy-Riemann conditions

    Mathematics and Computers in Simulation, Vol. 104, pp. 43-57

  4. Reparametrizing swung surfaces over the reals

    Applicable Algebra in Engineering, Communications and Computing, Vol. 25, Núm. 1-2, pp. 39-65

  5. Ultraquadrics associated to affine and projective automorphisms

    Applicable Algebra in Engineering, Communications and Computing, Vol. 25, Núm. 6, pp. 431-445

  6. Ultraquadrics associated to affine and projective automorphisms

    Encuentros de Algebra Computacional y aplicaciones: Barcelona 2014