3 papers
math.AG2026
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…
math.NT2025
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…
math.AG2025
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…