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arXiv · 2503.00671

Newton Polytopes and Analytic Spread

Benjamin Drabkin·Benjamin Oltsik
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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.

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Benjamin Drabkin, Benjamin Oltsik. 2025-03-02. Newton Polytopes and Analytic Spread. https://arxiv.org/abs/2503.00671

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