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Smooth Fano polytopes can not be inductively constructed

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  • Mikkel Øbro, Danmark
  • Institut for Matematiske Fag
We examine a concrete smooth Fano 5-polytope $P$ with 8 vertices with the following properties: There does not exist a smooth Fano 5-polytope $Q$ with 7 vertices such that $P$ contains $Q$, and there does not exist a smooth Fano 5-polytope $R$ with 9 vertices such that $R$ contains $P$. As the polytope $P$ is not pseudo-symmetric, it is a counter example to a conjecture proposed by Sato.
OriginalsprogEngelsk
TidsskriftTohoku Mathematical Journal
Vol/bind60
Nummer2
Sider (fra-til)219-225
Antal sider7
ISSN0040-8735
DOI
StatusUdgivet - 2008

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