4 citations · 14 across the 22 of their papers we have counts for
24 papers
Sparse systems and algorithmic equidimensional decomposition
Maria Isabel Herrero, Gabriela Jeronimo, Juan Sabia
We present a new probabilistic algorithm that characterizes the equidimensional components of the affine algebraic variety defined by an arbitrary sparse polynomial system with pre…
Rational certificates of non-negativity on semialgebraic subsets of cylinders
Gabriela Jeronimo, Daniel Perrucci
Let and be a non-empty, possibly…
The Canny-Emiris conjecture for the sparse resultant
Carlos D'Andrea, Gabriela Jeronimo, Martin Sombra
We present a product formula for the initial parts of the sparse resultant associated to an arbitrary family of supports, generalising a previous result by Sturmfels. This allows t…
Decision problem for a class of univariate Pfaffian functions
Maria Laura Barbagallo, Gabriela Jeronimo, Juan Sabia
We address the decision problem for sentences involving univariate functions constructed from a fixed Pfaffian function of order . We present a new symbolic procedure solving th…
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…
Identifiability from a few species for a class of biochemical reaction networks
Gabriela Jeronimo, Mercedes Pérez Millán, Pablo Solernó
Under mass-action kinetics, biochemical reaction networks give rise to polynomial autonomous dynamical systems whose parameters are often difficult to estimate. We deal in this pap…