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arXiv · 1907.07214

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

Lukas Katthän·Kohji Yanagawa
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Abstract

Let P be a lattice polytope with $h^*$-vector $(1, h^*_1, h^*_2)$. In this note we show that if $h_2^* \leq h_1^*$, then $P$ is IDP. More generally, we show the corresponding statements for semi-standard graded Cohen-Macaulay domains over algebraically closed fields.

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Lukas Katthän, Kohji Yanagawa. 2020-09-01. Graded Cohen-Macaulay domains and lattice polytopes with short $h$-vector. https://arxiv.org/abs/1907.07214

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