Additive Number Theory and Inequalities in Ehrhart Theory
نویسندگان
چکیده
منابع مشابه
Kneser’s Theorem and Inequalities in Ehrhart Theory
We demonstrate how additive number theory can be used to produce new classes of inequalities in Ehrhart theory. More specifically, we use a classical result of Kneser to produce new inequalities between the coefficients of the Ehrhart δ-vector of a lattice polytope. The inequalities are indexed by the vertices of rational polyhedra Q(r, s) ⊆ R for 0 ≤ r ≤ s. As an application, we deduce all pos...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2015
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnv186