Geodesic
A classification of smooth convex 3-polytopes with at most 16 lattice points
Journal of Algebraic Combinatorics, Tome 37 (2013) no. 1, pp. 139-165.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $\Bbb P^{ N }$ where N$\leq 15$. Again we have in total 103 such embeddings. Of these, 99 are projective bundles embedded in $\Bbb P^{ N }$ and the remaining four are blow-ups of such toric threefolds.
Classification : 16
Keywords: smooth, lattice polytopes, toric varieties, Cayley polytopes, toric fibrations 
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Lundman, Anders. A classification of smooth convex 3-polytopes with at most 16 lattice points. Journal of Algebraic Combinatorics, Tome 37 (2013) no. 1, pp. 139-165. http://geodesic.mathdoc.fr/item/JAC_2013__37_1_a1/