Pluripotential kahler-ricci flows
arXiv:1810.02121 · doi:10.2140/gt.2020.24.1225
Abstract
We develop a parabolic pluripotential theory on compact K{ä}hler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge-Amp{è}re equations. We provide a parabolic analogue of the celebrated Bedford-Taylor theory and apply it to the study of the K{ä}hler-Ricci flow on varieties with log terminal singularities.
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- KAWA lecture notes on the Kähler-Ricci flow
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- Weak subsolutions to complex Monge-Ampère equations