Canonical measures and Kahler-Ricci flow
Differential Geometry
2008-02-20 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.0802.2570,
title = {Canonical measures and Kahler-Ricci flow},
author = {Jian Song and Gang Tian},
journal= {arXiv preprint arXiv:0802.2570},
year = {2008}
}
Comments
56 pages