%0 Journal Article
%T Strictly Nef Divisors
%A Fr¨¦d¨¦ric Campana
%A Jungkai A. Chen
%A Thomas Peternell
%J Mathematics
%D 2005
%I arXiv
%X Let $X$ be a projective manifold of dimension $n$ and $L$ a strictly nef line bundle on $X$. Then $K_X+tL$ is ample if $t > n+1$ in the following cases. 1.) $\text{dim} X = 3$ unless (possibly) $X$ is a Calabi-Yau with $c_2 \cdot L=0$; 2.) $\kappa(X) \ge n-2$; 3.) $\text{dim} \alpha(X) \ge n-2$, with $\alpha: X \to A$ the Albanese map.
%U http://arxiv.org/abs/math/0511042v1