Tohoku Mathematical Journal
2012
March
SECOND SERIES VOL. 64, NO. 1

Tohoku Math. J.
64 (2012), 125-140

Title PROJECTIVE NORMALITY OF TORIC 3-FOLDS WITH NON-BIG ADJOINT HYPERPLANE SECTIONS

Author Shoetsu Ogata

(Received February 18, 2009, revised August 23, 2011)
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.

2000 Mathematics Subject Classification. Primary 14M25; Secondary 52B20.
Key words and phrases. Toric varieties, projectively normal.

To the top of this page

Back to the Contents