Lattice polytopes, finite abelian subgroups in $\SL(n,\C)$ and coding theory

Victor Batyrev, Johannes Hofscheier

We consider $d$-dimensional lattice polytopes $\Delta$ with $h^{\ast }$-polynomial $h_{\Delta }^{\ast }=1+h_k^{\ast }{t}^k$ for $1<k<(d+1)/2$ and relate them to some abelian subgroups of $\SL_{d+1}(\C)$ of order $…