The Kahler-Ricci flow through singularities

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.

References in corpus (8)

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• A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring
• Kahler-Ricci flow on stable Fano manifolds
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• Stability of Bounded Solutions for Degenerate Complex Monge-Ampère equations
• Scalar Curvature Bound for Kähler-Ricci Flows over Minimal Manifolds of General Type
• Scalar Curvature Behavior for Finite Time Singularity of Kähler-Ricci Flow
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