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An $ε$-Regularity Theorem for Non-collapsed Ricci Flow

Year: 2025
Type: preprint
Abstract: In this article we prove an $ε$-regularity theorem for non-collapsed Ricci flows, and use this to prove new estimates for singularity models of Fano Kähler-Ricci flows. In the course of our proof, we find a criterion for uniform convergence of solutions to the heat equation along a sequence of $\mathbb{F}$-converging Ricci flows, and apply this to new parabolic regularizations of some natural geometric quantities.
Language: English
Open Access status: green
OpenAlex ID: W4416615446
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