Pluripotential kahler-ricci flows

Abstract

We develop a parabolic pluripotential theory on compact K\"ahler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge-Amp\`ere equations. We provide a parabolic analogue of the celebrated Bedford-Taylor theory and apply it to the study of the K\"ahler-Ricci flow on varieties with log terminal singularities.

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