Lecture notes on the K\"ahler-Ricci flow
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These lecture notes give an introduction to the Kahler-Ricci flow. They are based on lectures given by the authors at the conference "Analytic Aspects of Complex Algebraic Geometry", held at the Centre International de Rencontres Mathematiques in Luminy, in February 2011.
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Scalar Curvature, Volumes and the Bergman Kernel
For compact Kähler manifolds with nef canonical bundle, the infima of volume and integrals of |S_C| or |S_C^-| under S_C >= -1 equal (nπ)^n / n! times CanVol(M), with equality only for negative Kähler-Einstein metrics.
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