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

2023/03/23 by Koji Matsushita, Matsushita, Koji
Mathematics · #52B20 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Primary 13F65 #Secondary 13C20

paper · pdf · doi:10.48550/arxiv.2303.13061

openalex publication_date 2023/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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