Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
On a conjecture of Beltrametti-Sommese for polarized 4-folds
Yoshiaki Fukuma
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Keywords: Polarized manifold, adjoint bundles, Beltrametti-Sommese conjecture, the sectional geometric genus
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2015 Volume 38 Issue 2 Pages 343-351

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Abstract
Let (X,L) be a polarized manifold of dimension 4. In this paper, we prove that h0(KX + 3L) > 0 if KX + 3L is nef, which is a conjecture of Beltrametti-Sommese for polarized 4-folds.
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© 2015 Department of Mathematics, Tokyo Institute of Technology
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