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Classification of smooth Fano polytopes

Publikation: Bog/antologi/afhandling/rapportPh.d.-afhandling

Dokumenter

  • Mikkel Øbro, Danmark
  • Institut for Matematiske Fag

A simplicial lattice polytope containing the origin in the interior is called a smooth Fano polytope, if the vertices of every facet is a basis of the lattice. The study of smooth Fano polytopes is motivated by their connection to toric varieties. The thesis concerns the classification of smooth Fano polytopes up to isomorphism. A smooth Fano -polytope can have at most vertices. In case of vertices an explicit classification is known. The thesis contains the classification in case of vertices. Classifications of smooth Fano -polytopes for fixed exist only for . In the thesis an algorithm for the classification of smooth Fano -polytopes for any given is presented. The algorithm has been implemented and used to obtain the complete classification for .

OriginalsprogEngelsk
UdgivelsesstedÅrhus
ForlagAarhus Universitetsforlag
Antal sider148
StatusUdgivet - 2008

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