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Classification of toric Fano 5-folds

Maximilian Kreuzer·Benjamin Nill
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Abstract

We obtain 866 isomorphism classes of five-dimensional nonsingular toric Fano varieties using a computer program and the database of four-dimensional reflexive polytopes. The algorithm is based on the existence of facets of Fano polytopes having small integral distance from any vertex.

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Maximilian Kreuzer, Benjamin Nill. 2007-02-28. Classification of toric Fano 5-folds. https://arxiv.org/abs/math/0702890

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