Uniqueness and short time regularity of the weak Kähler–Ricci flow
File(s)WKRFlow_Revision.pdf (526.94 KB)
Accepted version
Author(s)
Di Nezza, E
Lu, CH
Type
Journal Article
Abstract
Let X be a compact Kähler manifold. We prove that the Kähler–Ricci flow starting from arbitrary closed positive (1,1)-currents is smooth outside some analytic subset. This regularity result is optimal, meaning that the flow has positive Lelong numbers for short time if the initial current has. We also prove that the flow is unique when starting from currents with zero Lelong numbers.
Date Issued
2016-10-13
Date Acceptance
2016-10-04
Citation
Advances in Mathematics, 2016, 305, pp.953-993
ISSN
1090-2082
Publisher
Elsevier
Start Page
953
End Page
993
Journal / Book Title
Advances in Mathematics
Volume
305
Copyright Statement
© 2016, Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor
Commission of the European Communities
Grant Number
Marie Skłodowska-Curie Action 660940 — KRF-CY (MSCA–IF)
Subjects
General Mathematics
0101 Pure Mathematics
Publication Status
Published