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arXiv · 2303.13061

Toric rings of $(0,1)$-polytopes with small rank

Koji Matsushita
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Abstract

The rank of a $d$-dimensional polytope $P$ is defined by $F-(d+1)$, where $F$ denotes the number of facets of $P$. In this paper, We focus on the toric rings of $(0,1)$-polytopes with small rank. We study their normality, the torsionfreeness of their divisor class groups and the classification of their isomorphism classes.

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Koji Matsushita. 2023-03-23. Toric rings of $(0,1)$-polytopes with small rank. https://arxiv.org/abs/2303.13061

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