%0 Journal Article
%T Non-vanishing theorem for log canonical pairs
%A Osamu Fujino
%J Mathematics
%D 2009
%I arXiv
%X We obtain a correct generalization of Shokurov's non-vanishing theorem for log canonical pairs. It implies the base point free theorem for log canonical pairs. We also prove the rationality theorem for log canonical pairs. As a corollary, we obtain the cone theorem for log canonical pairs. We do not need Ambro's theory of quasi-log varieties.
%U http://arxiv.org/abs/0901.0409v3