Journal of Combinatorics

Volume 10 (2019)

Number 2

Ehrhart polynomials of lattice polytopes with normalized volumes $5$

Pages: 283 – 290

DOI: https://dx.doi.org/10.4310/JOC.2019.v10.n2.a6

Author

Akiyoshi Tsuchiya (Dept. of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Suita, Osaka, Japan)

Abstract

A complete classification of the $\delta$-vectors of lattice polytopes whose normalized volumes are at most $4$ is known. In the present paper, we will classify all the $\delta$-vectors of lattice polytopes with normalized volumes $5$.

Keywords

$\delta$-polynomial, $\delta$-vector, Ehrhart polynomial, Spanning polytope

2010 Mathematics Subject Classification

52B12, 52B20

Full Text (PDF format)

Received 26 September 2017

Published 25 January 2019