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arXiv:1209.3186 [math.AG]AbstractReferencesReviewsResources

Smooth Fano Polytopes With Many Vertices

Benjamin Assarf, Michael Joswig, Andreas Paffenholz

Published 2012-09-14, updated 2014-06-13Version 3

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.

Comments: 34 pages, to appear in Discrete & Computational Geometry
Categories: math.AG, math.CO
Subjects: 52B20, 14M25, 14J45
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