A Base Point Free Theorem of Reid Type, II
| dc.creator | Fukuda, Shigetaka | |
| dc.date | 1998-01-26 | |
| dc.date | 1998-11-02 | |
| dc.date.accessioned | 2026-07-07T05:23:40Z | |
| dc.date.available | 2026-07-07T05:23:40Z | |
| dc.description | Let $X$ be a complete algebraic variety over {\bf C}. We consider a log variety $(X,Δ)$ that is weakly Kawamata log terminal. We assume that $K_X+Δ$ is a {\bf Q}-Cartier {\bf Q}-divisor and that every irreducible component of $\lfloor Δ\rfloor$ is {\bf Q}-Cartier. A nef and big Cartier divisor $H$ on $X$ is called {\it nef and log big} on $(X,Δ)$ if $H |_B$ is nef and big for every center $B$ of non-"Kawamata log terminal" singularities for $(X,Δ)$. We prove that, if $L$ is a nef Cartier divisor such that $aL-(K_X+Δ)$ is nef and log big on $(X,Δ)$ for some $a \in$ {\bf N}, then the complete linear system $| mL |$ is base point free for $m \gg 0$. | |
| dc.description | AMS-TeX v2.1, 8 pages, note new e-mail address <fukuda@ha.shotoku.ac.jp> on the 1st page of the manuscript | |
| dc.identifier | https://arxiv.org/abs/math/9801113 | |
| dc.identifier | http://arxiv.org/abs/math/9801113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76532 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C20 (Primary) 14J10 (Secondary) | |
| dc.title | A Base Point Free Theorem of Reid Type, II | |
| dc.type | text |