| 概要 | In this talk, I will talk about the finiteness of log pluricanonical represe
ntations and the abundance conjecture for semi-log canonical pairs. Actually
we prove the fi niteness of log pluricanonical representations for project
ive log canonical pairs with semi-ample log canonical divisor. As a corollar
y, we obtain that the log canonical divisor of a projective semi log canonic
al pair is semi-ample if and only if so is the log canonical divisor of its
normalization. This is joint work with O. Fujino. |