Luis Felipe Tabera Alonso

Docencia

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

• Two Tools in Algebraic Geometry: Construction of Configurations in Tropical Geometry and Hypercircles for the Simplification of Parametric Curves(1.5MB)
  2007, Universidad de Cantabria/Université de Rennes I. In english with an introduction is Spanish and French

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