## Smooth Fano polytopes can not be inductively constructed

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

### DOI

• 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.
Originalsprog Engelsk Tohoku Mathematical Journal 60 2 219-225 7 0040-8735 https://doi.org/10.2748/tmj/1215442872 Udgivet - 2008

Citationsformater

ID: 14697848