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26 April 2024

» arxiv » 1711.9512

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Spanning Lattice Polytopes and the Uniform Position Principle
Johannes Hofscheier ; Lukas Katthän ; Benjamin Nill ;
Date:	27 Nov 2017
Abstract:	A lattice polytope is called $ extit{spanning}$ if its lattice points affinely span the ambient lattice. We prove a lower bound for the sums of successive entries of the $h^{*}$-vector, generalizing the corresponding inequalities for IDP polytopes due to Stanley and Hibi’s Lower Bound Theorem. Our proof relies on a generalization of the Uniform Position Principle due to Harris.
Source:	arXiv, 1711.9512
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