Unimodality Problems in Ehrhart Theory
Combinatorics
2017-11-30 v3
Abstract
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 -vector. Ehrhart -vectors have connections to many areas of mathematics, including commutative algebra and enumerative combinatorics. In this survey we discuss what is known about unimodality for Ehrhart -vectors and highlight open questions and problems.
Keywords
Cite
@article{arxiv.1505.07377,
title = {Unimodality Problems in Ehrhart Theory},
author = {Benjamin Braun},
journal= {arXiv preprint arXiv:1505.07377},
year = {2017}
}
Comments
Published in Recent Trends in Combinatorics, Beveridge, A., et al. (eds), Springer, 2016, pp 687-711, doi 10.1007/978-3-319-24298-9_27. This version updated October 2017 to correct an error in the original version