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- W4300081986 abstract "We introduce a powerful connection between Ehrhart theory and additive number theory, and use it to produce infinitely many new classes of inequalities between the coefficients of the $h^*$-polynomial of a lattice polytope. This greatly improves upon the three known classes of inequalities, which were proved using techniques from commutative algebra and combinatorics. As an application, we deduce all possible `balanced' inequalities between the coefficients of the $h^*$-polynomial of a lattice polytope containing an interior lattice point, in dimension at most 6." @default.
- W4300081986 created "2022-10-03" @default.
- W4300081986 creator A5016209997 @default.
- W4300081986 date "2009-04-20" @default.
- W4300081986 modified "2023-09-26" @default.
- W4300081986 title "Additive number theory and inequalities in Ehrhart theory" @default.
- W4300081986 doi "https://doi.org/10.48550/arxiv.0904.3035" @default.
- W4300081986 hasPublicationYear "2009" @default.
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