Projective normality of nonsingular toric varieties of dimension three

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.

36pages, 17figures

References in corpus (2)

• An algorithm for the classification of smooth Fano polytopes
• Lattice points in Minkowski sums

Cited by in corpus (3)

• The quest for counterexamples in toric geometry
• The vanishing cycles of curves in toric surfaces I
• Nef and big divisors on toric weak Fano 3-folds