8 citations · 15 across the 4 of their papers we have counts for
6 papers
Fields of Parametrization and Optimal Affine Reparametrization of Rational Curves
Luis Felipe Tabera
In this paper we present three related results on the subject of fields of parametrization. Let C be a rational curve over a field of characteristic zero. Let K be a field finitely…
Constructive proof of extended Kapranov theorem
Luis Felipe Tabera
Kapranov Theorem is a well known generalization of Newton-Puiseux theorem for the case of several variables. This theorem is stated mainly in the context of tropical geometry. We p…
Tropical Resultants for Curves and Stable Intersection
Luis Felipe Tabera
We introduce the notion of resultant of two planar curves in the tropical geometry framework. We prove that the tropicalization of the algebraic resultant can be used to compute th…
Tropicalization and irreducibility of Generalized Vandermonde Determinants
Carlos D'Andrea, Luis Felipe Tabera
We find geometric and arithmetic conditions in order to characterize the irreducibility of the determinant of the generic Vandermonde matrix over the algebraic closure of any field…
Tropical Plane Geometric Constructions: a Transfer Technique in Tropical Geometry
Luis Felipe Tabera
The notion of geometric construction is introduced. This notion allows to compare incidence configurations in the algebraic and tropical plane. We provide an algorithm such that, g…
Tropical constructive Pappus' theorem
L. F. Tabera
In this paper, we state the validity of Cramer's rule in a tropical context and its correspondence with classical Cramer's rule. This correspondence will allow us to prove a constr…