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arxiv: math/0702890 · v2 · submitted 2007-02-28 · 🧮 math.AG · hep-th· math.CO

Classification of toric Fano 5-folds

classification 🧮 math.AG hep-thmath.CO
keywords fanopolytopestoricalgorithmclassesclassificationcomputerdatabase
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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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