%0 Journal Article
%T Canonical measures and Kahler-Ricci flow
%A Jian Song
%A Gang Tian
%J Mathematics
%D 2008
%I arXiv
%X We show that the Kahler-Ricci flow on an algebraic manifold of positive Kodaira dimension and semi-ample canonical line bundle converges to a unique canonical metric on its canonical model. It is also shown that there exists a canonical measure of analytic Zariski decomposition on an algebraic manifold of positive Kodaira dimension. Such a canonical measure is unique and invariant under birational transformations under the assumption of the finite generation of canonical rings.
%U http://arxiv.org/abs/0802.2570v1