%0 Journal Article
%T Nef and big divisors on toric weak Fano 3-folds
%A Shoetsu Ogata
%J Mathematics
%D 2009
%I arXiv
%X We show that a nef and big line bundle whose adjoint bundle has non-zero global sections on a nonsingular toric weak Fano 3-fold is normally generated. As a consequence, we see that all ample line bundles on a nonsingular toric weak Fano 3-fold are normally generated. We also show that an ample line bundle whose adjoint bundle has non-zero global sections on a Gorensein toric Fano 3-fold is normally generated. In our proof we do not use full classifications of Fano polytopes.
%U http://arxiv.org/abs/0903.0679v6