23 citations · 57 across the 35 of their papers we have counts for
4 papers · 1 filter
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…
Factorization of bivariate sparse polynomials
Francesco Amoroso, Martín Sombra
We prove a function field analogue of a conjecture of Schinzel on the factorization of univariate polynomials over the rationals. We derive from it a finiteness theorem for the irr…
The Cayley-Menger determinant is irreducible for
Carlos D'Andrea, Martin Sombra
We prove that the Cayley-Menger determinant of an -dimensional simplex is an absolutely irreducible polynomial for We also study the irreducibility of polynomials asso…
The height of the mixed sparse resultant
Martin Sombra
We present an upper bound for the height of the mixed sparse resultant, defined as the logarithm of the maximum modulus of its coefficients. We obtain a similar estimate for its Ma…