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arXiv · 0712.0444

Projective normality of nonsingular toric varieties of dimension three

Shoetsu Ogata
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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.

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Shoetsu Ogata. 2010-02-25. Projective normality of nonsingular toric varieties of dimension three. https://arxiv.org/abs/0712.0444

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