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- W2906962023 abstract "For any lattice polytope $P$, we consider an associated polynomial $bar {delta }_{P}(t)$ and describe its decomposition into a sum of two polynomials satisfying certain symmetry conditions. As a consequence, we improve upon known inequalities satisfied by the coefficients of the Ehrhart $delta$-vector of a lattice polytope. We also provide combinatorial proofs of two results of Stanley that were previously established using techniques from commutative algebra. Finally, we give a necessary numerical criterion for the existence of a regular unimodular lattice triangulation of the boundary of a lattice polytope." @default.
- W2906962023 created "2019-01-11" @default.
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- W2906962023 date "2009-10-01" @default.
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- W2906962023 title "Inequalities and Ehrhart $delta $-vectors" @default.
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- W2906962023 doi "https://doi.org/10.1090/s0002-9947-09-04776-x" @default.
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