The Kahler-Ricci flow through singularities

Details The Kahler-Ricci flow through singularities The Kahler-Ricci flow through singularities

2009-09-26

arxiv.org/abs/0909.4898v1

Mathematics

Differential Geometry

Scientific paper

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.

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