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arXiv:0712.0444 [math.AG]AbstractReferencesReviewsResources

Projective normality of nonsingular toric varieties of dimension three

Shoetsu Ogata

Published 2007-12-04, updated 2010-02-25Version 3

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.

Comments: 36pages, 17figures
Journal: Tohoku Math. J. 64 (2012), 125--140
Categories: math.AG, math.CO
Subjects: 14M25, 52B20
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