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arXiv · 1708.00413

Classification of lattice polytopes with small volumes

Takayuki Hibi·Akiyoshi Tsuchiya
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Abstract

In the frame of a classification of general square systems of polynomial equations solvable by radicals, Esterov and Gusev succeeded in classifying all spanning lattice polytopes whose normalized volumes are at most $4$. In the present paper, we complete to classify all lattice polytopes whose normalized volumes are at most $4$ based on the known classification of their $δ$-polynomials.

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Takayuki Hibi, Akiyoshi Tsuchiya. 2019-05-16. Classification of lattice polytopes with small volumes. https://doi.org/10.4310/joc.2020.v11.n3.a4

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