Vol. 14, No. 7, 2021

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 8, 2619–2996
Issue 7, 2247–2618
Issue 6, 1871–2245
Issue 5, 1501–1870
Issue 4, 1127–1500
Issue 3, 757–1126
Issue 2, 379–756
Issue 1, 1–377

Volume 16, 10 issues

Volume 15, 8 issues

Volume 14, 8 issues

Volume 13, 8 issues

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1948-206X (online)
ISSN 2157-5045 (print)
 
Author index
To appear
 
Other MSP journals
Some refinements of the partial $C^0$ estimate

Kewei Zhang

Vol. 14 (2021), No. 7, 2307–2326
Abstract

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 C0 estimate along the (generalized) Kähler–Ricci flow on Fano manifolds.

Keywords
Bergman kernel, partial $C^0$ estimate, Kähler–Ricci flow
Mathematical Subject Classification 2010
Primary: 32A25, 53C44
Milestones
Received: 15 December 2019
Accepted: 22 April 2020
Published: 10 November 2021
Authors
Kewei Zhang
Laboratory of Mathematics and Complex Systems
School of Mathematical Sciences
Beijing Normal University
Beijing
China