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This article is available for purchase or by subscription. See below.
Abstract
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Relying on the recent work of Liu and Székelyhidi, we give a weak asymptotic estimate
for the Bergman kernels of polarized Kähler manifolds with Ricci lower bound and
Sobolev constant upper bound. We will also give a simple proof for the partial
estimate along the (generalized) Kähler–Ricci flow on Fano manifolds.
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Keywords
Bergman kernel, partial $C^0$ estimate, Kähler–Ricci flow
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Mathematical Subject Classification 2010
Primary: 32A25, 53C44
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Milestones
Received: 15 December 2019
Accepted: 22 April 2020
Published: 10 November 2021
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