ON A CONJECTURE OF BELTRAMETTI–SOMMESE FOR POLARIZED 3-FOLDS
- 1 August 2006
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Mathematics
- Vol. 17 (7), 761-789
- https://doi.org/10.1142/s0129167x06003709
Abstract
Let (X, L) be a polarized manifold of dimension 3. In this paper, we consider a lower bound for h0(KX+ 2L). We prove that h0(KX+ 2L) > 0 if KX+ 2L is nef, which is a conjecture of Beltrametti–Sommese for polarized 3-folds. Moreover we classify polarized 3-folds (X, L) with h0(KX+ 2L) = 1 under the assumption that KX+ 2L is nef.Keywords
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