1 citations · 1 across the 2 of their papers we have counts for
3 papers
Curve valuations and mixed volumes in the implicitization of rational varieties
Alicia Dickenstein, Maria Isabel Herrero, Bernard Mourrain
We address the description of the tropicalization of families of rational varieties under parametrizations with prescribed support, via curve valuations. We recover and extend resu…
On degree bounds for the sparse Nullstellensatz
Maria Isabel Herrero, Gabriela Jeronimo, Juan Sabia
We prove new upper bounds for the degrees in Hilbert's Nullstellensatz and for the Noether exponent of polynomial ideals in terms of the monomial structure of the polynomials invol…
Puiseux expansions and non-isolated points in algebraic varieties
Maria Isabel Herrero, Gabriela Jeronimo, Juan Sabia
We consider the problem of deciding whether a common solution to a multivariate polynomial equation system is isolated or not. We present conditions on a given truncated Puiseux se…