Base Point Free Theorem of Reid-Fukuda Type

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概要

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• 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 $a\in {\Bbb Z}_{>0}$. Then $|mL|$ is base point free for every $m\gg 0$. Furthermore, we give a partial answer to the four-dimensional log abundance conjecture in the appendix.

• 東京大学の論文

著者

• Fujino Osamu

  Research Institute for Science and Technology, Kinki University

• Fujino Osamu

  Research Institute For Mathematical Sciences Kyoto University

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