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arXiv · 1601.01273

Nef line bundles on Calabi-Yau threefolds, I

Vladimir Lazić·Keiji Oguiso·Thomas Peternell
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Abstract

We prove that a nef line bundle $\mathcal L$ with $c_1(\mathcal L)^2 \ne 0$ on a Calabi-Yau threefold $X$ with Picard number $2$ and with $c_3(X) \ne 0$ is semiample, that is, some multiple of $\mathcal L$ is generated by global sections.

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Vladimir Lazić, Keiji Oguiso, Thomas Peternell. 2018-08-24. Nef line bundles on Calabi-Yau threefolds, I. https://doi.org/10.1093/imrn%2Frny191

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