2009arXiv (Cornell University)Open access

Smooth Fano polytopes arising from finite partially ordered sets

Takayuki Hibi, Akihiro Higashitani

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Abstract

Gorenstein Fano polytopes arising from finite partially ordered sets will be introduced. Then we study the problem which partially ordered sets yield smooth Fano polytopes.

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Gorenstein Fano polytopes arising from finite partially ordered sets will be introduced. Then we study the problem which partially ordered sets yield smooth Fano polytopes.

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Available abstract

Gorenstein Fano polytopes arising from finite partially ordered sets will be introduced. Then we study the problem which partially ordered sets yield smooth Fano polytopes.

Key concepts: Polytope, Fano plane, Yield (engineering), Combinatorics, Mathematics, Polytope model, Pure mathematics, Physics

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