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Independence of
singularity type for numerically effective Kähler–Ricci
flows
Hosea Wondo and Zhou Zhang |
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Geometry & Topology 29 (2025) 479–494
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Abstract |
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We show that the singularity type of solutions to the Kähler–Ricci flow on a numerically effective manifold does not depend on the initial metric. More precisely, if there exists a type-III solution to the Kähler–Ricci flow, then any other solution starting from a different initial metric will also be type III. This generalizes a previous result by Yuguang Zhang for the semiample case, and confirms a conjecture by V Tosatti. |
Keywords
Kähler–Ricci flow, Kähler geometry, minimal model program,
curvature estimates
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Mathematical Subject Classification
Primary: 53C55
Secondary: 32Q15
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References |
Publication
Received: 9 November 2023
Revised: 7 February 2024
Accepted: 9 March 2024
Published: 22 January 2025
Proposed: Gang Tian
Seconded: John Lott, Tobias H Colding
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Authors |
| Hosea Wondo | |
| School of Mathematics and
Statistics The University of Sydney Sydney, NSW Australia |
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| Zhou Zhang | |
| School of Mathematics and
Statistics The University of Sydney Sydney, NSW Australia |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
This article is currently available only to readers at paying institutions. If enough institutions subscribe to this Subscribe to Open journal for 2025, the article will become Open Access in early 2025. Otherwise, this article (and all 2025 articles) will be available only to paid subscribers.
