Tristram Bogart, Christian Haase, Milena Hering, Benjamin Lorenz, Benjamin
Nill, Andreas Paffenholz, Günter Rote, Francisco Santos, and Hal
Finitely many smooth d-polytopes with n lattice
Israel Journal of Mathematics 207 (2015), 301–329.
We prove that for fixed d and n, there are only finitely
many smooth d-dimensional polytopes which contain n lattice
points. As a consequence in algebraic geometry, we obtain that for fixed
n, there are only finitely many embeddings of Q-factorial
toric varieties into n-dimensional projective
space Pn that are induced by a complete
linear system. We also enumerate all smooth 3-polytopes with at most 12
Last update: August 15, 2017.