Base point free theorem of Reid-Fukuda type

Abstract

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

4 pages

Cited by in corpus (7)

• Quasi-log varieties
• Log pluricanonical representations and abundance conjecture
• Base point free theorems--saturation, b-divisors, and canonical bundle formula--
• Fundamental theorems for semi log canonical pairs
• On minimal model theory for log abundant lc pairs
• On isolated singularities with noninvertible finite endomorphism
• Basepoint-free theorem of Reid--Fukuda type for quasi-log schemes