An algorithm for the classification of smooth Fano polytopes

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dc.creatorØbro, Mikkel
dc.date2007-04-02
dc.date.accessioned2026-07-07T07:54:18Z
dc.date.available2026-07-07T07:54:18Z
dc.descriptionWe 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.
dc.description17 pages.
dc.identifierhttps://arxiv.org/abs/0704.0049
dc.identifierhttp://arxiv.org/abs/0704.0049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126555
dc.subjectCombinatorics
dc.subject52B20
dc.titleAn algorithm for the classification of smooth Fano polytopes
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