Luis Felipe Tabera Alonso

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Last update, June 2009



Docencia

Matemáticas III
Matemáticas I
Álgebra Lineal

Preprints

  • Fields of Parametrization and Optimal Affine Reparametrization of Rational Curves
  • Algorithmic Detection of Hypercircles
    With: J.R. Sendra, T. Recio, C. Villarino
  • Manual de Hipercirculos (Spanish)
    With: J.R. Sendra, T. Recio, C. Villarino

Articles

  • Tropical Plane Geometric Constructions: a Transfer Technique in Tropical Geometry
    To appear in Revista Matemática Iberoamericana
  • Software Matemático Libre (Spanish)
    With: M. A. Abanades, J. Escribano, F. Botana. La Gaceta de la RSME, Vol 12(2), 2009 pag 325-346
  • Tropicalization and irreducibility of generalized Vandermonde determinants
    With: C. D'Andrea. Proceedings of the American Mathematical Society, 137(11), pp. 3647-3656. 2009
  • Generalizing Circles over Algebraic Extensions
    With: J.R. Sendra, T. Recio, C. Villarino. To appear in Mathematics of Computation
  • On the Simplification of the coefficients of a parametrization
    With: C. Andradas, J.R. Sendra, T. Recio. J. Symbolic Comput. (2) (2009), pp. 192-210, doi:10.1016/j.jsc.2008.09.001
  • Tropical Resultants for Curves and Stable Intersection
    Revista Matemática Iberoamericana, 24(3) (2008), pp. 941-961
  • Tropical Constructive Pappus' Theorem
    International Mathematics Research Notices, IMRN 2005:39 (2005) 2373-2389. ISSN 1073-7928

Thesis

In Conference Proceedings

  • Defining a framework to deduce incidence theorems in tropical geometry
    Proceedings of the seventh International Workshop on Automated Deduction in Geometry, ADG 2008, pp 102-110
  • An Ostrowski-like irreducibility test using tropical geometry
    With: C. D'Andrea. Proceedings of the XI encuentro en álgebra computacional y aplicaciones, EACA 2008, pp 61-64
  • Tropical Plane Geometric Constructions
    Electronic Procceedings of MEGA 2007
  • Fast Computation of the Implicit Ideal of a Hypercircle
    With: J.R. Sendra, T. Recio, C. Villarino. Procceedings of AGGM 2006, pp 258-265
  • Constructive Proof of Extended Kapranov theorem
    Actas de X Encuentro en Álgebra Computacional y Aplicaciones EACA2006, ISBN: 84-611-2311-5, pp 178-181
  • Computing the Algebraic Counterpart of a Tropical Plane Geometric Construction
    Procceedings in Transgressive Computing 2006, ISBN: 84-689-8381-0, pp 357-364

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