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math.AC2004
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…
math.AC2004
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…
math.AC2004
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.