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Base point free theorem of Reid-Fukuda type

Osamu Fujino
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Abstract

Let $(X,Δ)$ be a proper dlt pair and $L$ a nef Cartier divisor such that $aL-(K_X+Δ)$ is nef and log big on $(X,Δ)$ for some $a\in {\mathbb Z}_{>0}$. Then $|mL|$ is base point free for every $m\gg 0$.

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Osamu Fujino. 1999-03-08. Base point free theorem of Reid-Fukuda type. https://arxiv.org/abs/math/9903041

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