Open Access
2012 Projective normality of toric 3-folds with non-big adjoint hyperplane sections
Shoetsu Ogata
Tohoku Math. J. (2) 64(1): 125-140 (2012). DOI: 10.2748/tmj/1332767343

Abstract

Let $L$ be an ample line bundle on a nonsingular toric 3-fold. We show that if the adjoint bundle of $L$ has no global sections, then $L$ is normally generated. Even if the adjoint bundle is effective, it is shown that $L$ is normally generated if it is not big.

Citation

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Shoetsu Ogata. "Projective normality of toric 3-folds with non-big adjoint hyperplane sections." Tohoku Math. J. (2) 64 (1) 125 - 140, 2012. https://doi.org/10.2748/tmj/1332767343

Information

Published: 2012
First available in Project Euclid: 26 March 2012

zbMATH: 1317.14113
MathSciNet: MR2911135
Digital Object Identifier: 10.2748/tmj/1332767343

Subjects:
Primary: 14M25
Secondary: 52B20

Keywords: projectively normal , toric varieties

Rights: Copyright © 2012 Tohoku University

Vol.64 • No. 1 • 2012
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