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arXiv · 1311.3819

On base point free theorem of threefolds in positive characteristic

Chenyang Xu
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Abstract

Let $(X, Δ)$ be a projective klt three dimensional pair defined over an algebraically closed field characteristic larger than 5. Let $L$ be a nef and big line bundle on $X$ such that $L-K_X-Δ$ is big and nef. We show that $L$ is indeed semi-ample.

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Chenyang Xu. 2014-03-17. On base point free theorem of threefolds in positive characteristic. https://arxiv.org/abs/1311.3819

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