L estimates for k ?hler-ricci flow on k?hler-einstein fano manifolds: a new derivation

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY（2023）

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摘要

Assuming Perelman's estimates, we give a new proof of uniform L infinity estimate along normalized Kahler-Ricci flow on Fano manifolds with Kahler-Einstein metrics, using Chen-Cheng's auxiliary Monge-Ampe`re equation and the Alexandrov-Bakelman-Pucci maximum principle. This proof does not use pluripotential theory.

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