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arXiv · 1209.3186

Smooth Fano Polytopes With Many Vertices

Benjamin Assarf·Michael Joswig·Andreas Paffenholz
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Abstract

We classify the d-dimensional simplicial, terminal, and reflexive polytopes with at least 3d-2 vertices. In particular, it turns out that these are all smooth Fano polytopes. This improves on previous results of Casagrande in 2006 and Oebro in 2008. Smooth Fano polytopes play a role in algebraic geometry and mathematical physics.

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Benjamin Assarf, Michael Joswig, Andreas Paffenholz. 2012-09-14. Smooth Fano Polytopes With Many Vertices. https://doi.org/10.1007/s00454-014-9607-4

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