On a conjecture of Beltrametti-Sommese for polarized 4-folds

抄録

Let (X,L) be a polarized manifold of dimension 4. In this paper, we prove that h⁰(K_X + 3L) > 0 if K_X + 3L is nef, which is a conjecture of Beltrametti-Sommese for polarized 4-folds.