15 citations · 52 across the 11 of their papers we have counts for
12 papers
Arithmetics and combinatorics of tropical Severi varieties of univariate polynomials
Alicia Dickenstein, Maria Isabel Herrero, Luis Felipe Tabera
We give a description of the tropical variety of univariate polynomials of degree n having two double roots. As a set, it is given as the union of three types of maximal cones of d…
The tropical discriminant in positive characteristic
Luis Felipe Tabera
We study singularities in tropical hypersurfaces defined by a valuation over a field of positive characteristic. We provide a method to compute the set of singular points of a trop…
On real tropical bases and real tropical discriminants
Luis Felipe Tabera
We explore the concept of real tropical basis of an ideal in the field of real Puiseux series. We show explicit tropical bases of zero-dimensional real radical ideals, linear ideal…
Computing Hypercircles by Moving Hyperplanes
Luis Felipe Tabera
Let K be a field of characteristic zero, alpha algebraic of degree n over K. Given a proper parametrization psi of a rational curve C, we present a new algorithm to compute the hyp…
Singular tropical hypersurfaces
Alicia Dickenstein, Luis F. Tabera
We study the notion of singular tropical hypersurfaces of any dimension. We characterize the singular points in terms of tropical Euler derivatives and we give an algorithm to comp…
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…