Newton Polytopes and Analytic Spread
Commutative Algebra
2025-03-04 v1
Abstract
Using the Newton polytope and polyhedron, we study analytic spread and ideal reductions of monomial ideals. We determine a bound for analytic spread based on halfspaces and hyperplanes of the Newton polytope, and we classify basic monomial ideals. We then apply this method to calculate the analytic spread for a few families of monomial ideals.
Keywords
Cite
@article{arxiv.2503.00671,
title = {Newton Polytopes and Analytic Spread},
author = {Benjamin Drabkin and Benjamin Oltsik},
journal= {arXiv preprint arXiv:2503.00671},
year = {2025}
}