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Smooth polytopes with negative Ehrhart coefficients
Published Web Location
https://arxiv.org/pdf/1704.05532.pdfNo data is associated with this publication.
Abstract
In this note, we present examples of smooth lattice polytopes in dimensions 3 and higher whose Ehrhart polynomials have some negative coefficients. This answers negatively a question by Bruns. We also discuss Berline-Vergne valuations as a useful tool in proving Ehrhart positivity results and state several open questions.