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Strictly Nef Divisors

Frédéric Campana·Jungkai A. Chen·Thomas Peternell
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Abstract

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.) $κ(X) \ge n-2$; 3.) $\text{dim} α(X) \ge n-2$, with $α: X \to A$ the Albanese map.

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Frédéric Campana, Jungkai A. Chen, Thomas Peternell. 2005-11-02. Strictly Nef Divisors. https://arxiv.org/abs/math/0511042

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