Strictly Nef Divisors

Frédéric Campana; Jungkai A. Chen; Thomas Peternell

Strictly Nef Divisors

Algebraic Geometry 2007-05-23 v1

Authors: Frédéric Campana , Jungkai A. Chen , Thomas Peternell

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

Keywords

nef and ample line bundles projective varieties

Cite

@article{arxiv.math/0511042,
  title  = {Strictly Nef Divisors},
  author = {Frédéric Campana and Jungkai A. Chen and Thomas Peternell},
  journal= {arXiv preprint arXiv:math/0511042},
  year   = {2007}
}

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