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.AG2025
Sparse systems with high local multiplicity
Frédéric Bihan, Alicia Dickenstein, Jens Forsgård
Consider a sparse system of n Laurent polynomials in n variables with complex coefficients and support in a finite lattice set A. The maximal number of isolated roots of the system…
math.AG2024
Interpolation of toric varieties
Alicia Dickenstein, Sandra Di Rocco, Ragni Piene
Let be a -dimensional variety in -dimensional projective space. Let be a positive integer such that . Consider the following in…