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math.AC2026
The symbolic and divisorial analytic spreads are finite
Jonathan Montaño
Let be a ring that is essentially of finite type over a field and be an ideal. In this article it is shown that the minimal number of generators of the symbolic…
math.AC2026
The multiplicity sequence of monomial ideals
Sudipta Das, Jonathan Montaño, Aniketh Sivakumar
We give a convex-geometric formula for the multiplicity sequence of a monomial ideal in terms of mixed volumes of polytopes constructed from its Newton polyhedron. We also construc…