A classification of smooth convex 3-polytopes with at most 16 lattice points
2013 (English)In: Journal of Algebraic Combinatorics, ISSN 0925-9899, E-ISSN 1572-9192, Vol. 37, no 1, 139-165 p.Article in journal (Refereed) Published
We provide a complete classification up to isomorphism of all smooth convex lattice 3-polytopes with at most 16 lattice points. There exist in total 103 different polytopes meeting these criteria. Of these, 99 are strict Cayley polytopes and the remaining four are obtained as inverse stellar subdivisions of such polytopes. We derive a classification, up to isomorphism, of all smooth embeddings of toric threefolds in a"(TM) (N) where Na parts per thousand currency sign15. Again we have in total 103 such embeddings. Of these, 99 are projective bundles embedded in a"(TM) (N) and the remaining four are blow-ups of such toric threefolds.
Place, publisher, year, edition, pages
2013. Vol. 37, no 1, 139-165 p.
Smooth, Lattice polytopes, Toric varieties, Cayley polytopes, Toric fibrations
IdentifiersURN: urn:nbn:se:kth:diva-116719DOI: 10.1007/s10801-012-0363-3ISI: 000312775800008ScopusID: 2-s2.0-84871762737OAI: oai:DiVA.org:kth-116719DiVA: diva2:600598
FunderSwedish Research Council, NT:2010-5563
QC 201301252013-01-252013-01-252013-11-29Bibliographically approved