2 citations · 6 across the 9 of their papers we have counts for
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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…
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 irreducibility of multivariate subresultants
Laurent Busé, Carlos D'Andrea
Let be generic homogeneous polynomials in variables of degrees respectively. We prove that if is an integer satisfying ${\sum_{i=1}^n d_i}-n+1-\…
Macaulay Style Formulas for the Toric Residue
Carlos D'Andrea, Amit Khetan
We present an explicit formula for computing toric residues as a quotient of two determinants, a la Macaulay, where the numerator is a minor of the denominator. We also give an irr…
Subresultants and Generic Monomial Bases
Carlos D'Andrea, Gabriela Jeronimo
Given n polynomials in n variables of respective degrees d_1,...,d_n, and a set of monomials of cardinality d_1...d_n, we give an explicit subresultant-based polynomial expression…
Implicitization of surfaces in P^3 in the presence of base points
Laurent Buse, David Cox, Carlos D'Andrea
We show that the method of moving quadrics for implicitizing surfaces in P^3 applies in certain cases where base points are present. However, if the ideal defined by the parametriz…