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Smooth Fano polytopes whose Ehrhart polynomial has a root with large real part

The symmetric edge polytopes of odd cycles (del Pezzo polytopes) are known as smooth Fano polytopes. In this extended abstract, we show that if the length of the cycle is 127, then the Ehrhart polynomial has a root whose real part is greater than the dimension. As a result, we have a smooth Fano pol...

Ausführliche Beschreibung

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Bibliografische Detailangaben
Hauptverfasser: Hidefumi Ohsugi, Kazuki Shibata
Format: Artigo
Sprache:Inglês
Veröffentlicht: Discrete Mathematics & Theoretical Computer Science 2012-01-01
Schriftenreihe:Discrete Mathematics & Theoretical Computer Science
Schlagworte:
Online-Zugang:https://dmtcs.episciences.org/3041/pdf
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