8 citations · 15 across the 4 of their papers we have counts for
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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…