Newton Polytopes and Analytic Spread
Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Drabkin, Benjamin, Oltsik, Benjamin
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6966486760
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