Finitely many smooth d-polytopes with n lattice points
2015 (English)In: Israel Journal of Mathematics, ISSN 0021-2172, E-ISSN 1565-8511, Vol. 207, no 1, 301-329 p.Article in journal (Refereed) Published
We prove that for fixed n there are only finitely many embeddings of ℚ-factorial toric varieties X into ℙ n that are induced by a complete linear system. The proof is based on a combinatorial result that implies that for fixed nonnegative integers d and n, there are only finitely many smooth d-polytopes with n lattice points. We also enumerate all smooth 3-polytopes with ≤ 12 lattice points.
Place, publisher, year, edition, pages
2015. Vol. 207, no 1, 301-329 p.
IdentifiersURN: urn:nbn:se:su:diva-127063DOI: 10.1007/s11856-015-1175-7OAI: oai:DiVA.org:su-127063DiVA: diva2:905888