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Beyond positivity in Ehrhart Theory (2210.10734v1)
Published 19 Oct 2022 in math.CO, math.AC, and math.AG
Abstract: We study semigroup algebras arising from lattice polytopes, compute their volume polynomials (particularizing work of Hochster), and establish strong Lefschetz properties (generalizing work of the first three authors). This resolves several conjectures concerning unimodality properties of the $h\ast$-polynomial of lattice polytopes arising within Ehrhart theory.
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