Graded Cohen-Macaulay domains and lattice polytopes with short $h$-vector

Lukas Katthän, Kohji Yanagawa

Let P be a lattice polytope with $h^{\ast }$-vector $(1,h_1^{\ast },h_2^{\ast })$. In this note we show that if $h_2^{\ast }\le h_1^{\ast }$, then $P$ is IDP. More generally, we show the corresponding state…