An algorithm for the classification of smooth Fano polytopes

Details An algorithm for the classification of smooth Fano polytopes An algorithm for the classification of smooth Fano polytopes

2007-04-02

arxiv.org/abs/0704.0049v1

Mathematics

Combinatorics

17 pages.

Scientific paper

We present an algorithm that produces the classification list of smooth Fano
d-polytopes for any given d. The input of the algorithm is a single number,
namely the positive integer d. The algorithm has been used to classify smooth
Fano d-polytopes for d<=7. There are 7622 isomorphism classes of smooth Fano
6-polytopes and 72256 isomorphism classes of smooth Fano 7-polytopes.

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