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Regularizing property
of the twisted conical Kähler–Ricci flow
Jiawei Liu, Shiyu Zhang and Xi Zhang |
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Vol. 345 (2026), No. 2, 355–384
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Abstract |
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We show the regularity and uniqueness of the twisted conical Kähler–Ricci flow running from a positive closed current with zero Lelong number. We prove such a flow has a unique solution that immediately admits conical singularity and a certain regularity. |
Keywords
conical Kähler–Ricci flow, twisted Kähler–Ricci flow,
conical singularity
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Mathematical Subject Classification
Primary: 35K67, 35K96, 53E30
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Milestones
Received: 15 July 2025
Revised: 10 June 2026
Accepted: 21 July 2026
Published: 26 October 2026
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Authors |
| Jiawei Liu | |
| School of Mathematics and
Statistics Nanjing University of Science and Technology Nanjing China |
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| Shiyu Zhang | |
| School of Science Westlake University Hangzhou China |
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| Xi Zhang | |
| School of Mathematics and
Statistics Nanjing University of Science and Technology Nanjing China |
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| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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