English

The Kahler-Ricci flow through singularities

Differential Geometry 2009-09-29 v1 Algebraic Geometry

Abstract

We prove the existence and uniqueness of the weak Kahler-Ricci flow on projective varieties with log terminal singularities. It is also shown that the weak Kahler-Ricci flow can be uniquely continued through divisorial contractions and flips if they exist. We then propose an analytic version of the Minimal Model Program with Ricci flow.

Keywords

Cite

@article{arxiv.0909.4898,
  title  = {The Kahler-Ricci flow through singularities},
  author = {Jian Song and Gang Tian},
  journal= {arXiv preprint arXiv:0909.4898},
  year   = {2009}
}
R2 v1 2026-06-21T13:51:00.082Z