5 papers
Toric Euler-Jacobi vanishing theorem and zeros at infinity
Carlos D'Andrea, Alicia Dickenstein
Residues appear naturally in various questions in complex and algebraic geometry: interpolation, duality, representation problems, and obstructions. The first global vanishing resu…
On the effective Pourchet's Theorem
Teresa Cortadellas Benitez, Carlos D'Andrea, Ana Belen de Felipe +2
With the aid of Hensel Lemma, we refine the 2-adic Newton polygon algorithm proposed by Magron, Koprowski, and Vaccon at ISSAC 2023 to express computationally a given positive univ…
Sparse Nullstellensatz, resultants and determinants of complexes
Carlos D'Andrea, Gabriela Jeronimo
We refine and extend a result by Tuitman on the supports of a Bezout identity satisfied by a finite sequence of sparse Laurent polynomials without common zeroes in the toric variet…
Entropy numbers and box dimension of polynomials and holomorphic functions
Daniel Carando, Carlos D'Andrea, Leodan A. Torres +1
We study entropy numbers and box dimension of (the image of) homogeneous polynomials and holomorphic functions between Banach spaces. First, we see that entropy numbers and box dim…
Macaulay Style Formulas for Sparse Resultants
Carlos D'Andrea
We present formulas for computing the resultant of sparse polynomials as a quotient of two determinants, the denominator being a minor of the numerator. These formulas extend the o…