2 citations · 6 across the 9 of their papers we have counts for
14 papers
Multivariate Subresultants in Roots
Carlos D'Andrea, Teresa Krick, Agnes Szanto
We give rational expressions for the subresultants of n+1 generic polynomials f_1,..., f_{n+1} in n variables as a function of the coordinates of the common roots of f_1,..., f_n a…
A matrix-based approach to properness and inversion problems for rational surfaces
Carlos D'Andrea, Laurent Buse
We present a matrix-based algorithm for deciding if the parametrization of a curve or a surface is invertible or not, and for computing the inverse of the parametrization if it exi…
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…
On the irreducibility of the determinant of the matrix of moving planes
Carlos D'Andrea
We show that, for generic bihomogeneous polynomials, the determinant of the matrix of moving planes is irreducible.
Implicitization of rational surfaces using toric varieties
Amit Khetan, Carlos D'Andrea
A parameterized surface can be represented as a projection from a certain toric surface. This generalizes the classical homogeneous and bihomogeneous parameterizations. We extend t…
On the height of the Sylvester Resultant
Carlos D'Andrea, Kevin G. Hare
Let n be a positive integer. We consider the Sylvester Resultant of f and g, where f is a generic polynomial of degree 2 or 3 and g is a generic polynomial of degree n. If f is a q…