An algorithm for the classification of smooth Fano polytopes
Combinatorics
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.0704.0049,
title = {An algorithm for the classification of smooth Fano polytopes},
author = {Mikkel Øbro},
journal= {arXiv preprint arXiv:0704.0049},
year = {2007}
}
Comments
17 pages.