Strictly Nef Divisors

Details Strictly Nef Divisors Strictly Nef Divisors

2005-11-02

arxiv.org/abs/math/0511042v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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