ON A CONJECTURE OF BELTRAMETTI–SOMMESE FOR POLARIZED 3-FOLDS-Reference-Cited by-同舟云学术

ON A CONJECTURE OF BELTRAMETTI–SOMMESE FOR POLARIZED 3-FOLDS

Published:2006-08 Issue:07 Volume:17 Page:761-789
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

FUKUMA YOSHIAKI¹

Affiliation:

1. Department of Mathematics, Faculty of Science, Kochi University, Akebono-cho, Kochi 780-8520, Japan

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X06003709

Reference20 articles.

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