Akihiro Higashitani
Published 2011-03-11, updated 2014-06-30Version 4
In this paper, we consider terminal reflexive polytopes arising from finite directed graphs and study the problem of deciding which directed graphs yield smooth Fano polytopes. We show that any centrally symmetric or pseudo-symmetric smooth Fano polytopes can be obtained from directed graphs. Moreover, by using directed graphs, we provide new examples of smooth Fano polytopes whose corresponding varieties admit K\"ahler--Einstein metrics.
Comments: 13 pages, 4 figures
On the Automorphism Group of the Substructure Ordering of Finite Directed Graphs
Smooth Fano polytopes arising from finite partially ordered sets
Characteristics of Finite Jaco Graphs, $J_n(1), n \in \Bbb N$
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