Projective normality of nonsingular toric varieties of dimension three

Details Projective normality of nonsingular toric varieties of dimension three Projective normality of nonsingular toric varieties of dimension three

2007-12-04

arxiv.org/abs/0712.0444v3

Mathematics

Algebraic Geometry

36pages, 17figures

Scientific paper

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.

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