2022-09-27T03:57:25Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000402922021-03-01T21:02:42ZA Base Point Free Theorem of Reid TypeFukuda, Shigetaka138889415application/pdfAssume that $X$ is a normal projective variety over ${\Bbb C}$, of dimension $\leqq 3$, and that $(X, Δ)$ is a log variety that is weakly Kawamata log terminal. Let $L$ be a nef Cartier divisor such that $aL-(K_X+Δ)$ is nef and log big on $(X, Δ)$ for some $a\in{\Bbb N}$. Then Bs$|mL|=\emptyset$ for every $m\gg 0$.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo1997application/pdfJournal of mathematical sciences, the University of Tokyo34621625AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/40292/files/jms040306.pdfeng