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Unimodality problems in Ehrhart theory

Unimodality problems in Ehrhart theory

Ehrhart theory is the study of sequences recording the number of integer points in non-negative integral dilates of rational polytopes. For a given lattice polytope, this sequence is encoded in a finite vector called the Ehrhart h ∗-vector. Ehrhart h ∗-vectors have connections to many areas of mathematics, including commutative …