Projective normality of nonsingular toric varieties of dimension three
Algebraic Geometry
2013-10-25 v3 Combinatorics
Abstract
We show that if an ample line bundle L on a nonsingular toric 3-fold satisfies h^0(L+2K)=0, then L is normally generated. As an application, we show that the anti-canonical divisor on a nonsingular toric Fano 4-fold is normally generated.
Keywords
Cite
@article{arxiv.0712.0444,
title = {Projective normality of nonsingular toric varieties of dimension three},
author = {Shoetsu Ogata},
journal= {arXiv preprint arXiv:0712.0444},
year = {2013}
}
Comments
36pages, 17figures