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Newton Polytopes and Analytic Spread
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Newton Polytopes and Analytic Spread
classification
math.AC
keywords
analyticspreadidealsmonomialnewtonpolytopeapplybasic
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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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