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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.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…