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Collapsing Calabi–Yau
fibrations and uniform diameter bounds
Yang Li |
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Geometry & Topology 27 (2023) 397–415
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Abstract |
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We study Calabi–Yau metrics collapsing along a holomorphic fibration over a Riemann surface. Assuming at worst canonical singular fibres, we prove a uniform diameter bound for all fibres in the suitable rescaling. This has consequences on the geometry around the singular fibres. |
Keywords
collapsing, Calabi–Yau, fibration, diameter bound
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Mathematical Subject Classification
Primary: 32Q20, 32Q25
Secondary: 32J27
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References |
Publication
Received: 10 February 2021
Revised: 12 July 2021
Accepted: 6 September 2021
Published: 1 May 2023
Proposed: Gang Tian
Seconded: Simon Donaldson, John Lott
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Authors |
| Yang Li | |
| Department of Mathematics MIT Cambridge, MA United States |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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