The Kähler–Ricci flow through singularities

  title={The K{\"a}hler–Ricci flow through singularities},
  author={Jian Song and Gang normalsizesf Tian},
We prove the existence and uniqueness of the weak Kähler-Ricci flow on projective varieties with log terminal singularities. It is also shown that the weak Kähler-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. 

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