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Kähler–Ricci
shrinkers and Fano fibrations, I
Song Sun and Junsheng Zhang |
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Vol. 1 (2027), No. 1, 25–39
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Abstract |
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We prove that a Kähler–Ricci shrinker admits a polarized Fano fibration structure and hence is naturally a quasiprojective variety. This establishes a foundational connection between Kähler–Ricci shrinkers and algebraic geometry. |
Keywords
Kähler–Ricci shrinkers, Fano fibrations, Kähler reduction,
birational geometry
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Mathematical Subject Classification
Primary: 53C55
Secondary: 14Jxx
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Milestones
Received: 15 March 2026
Revised: 4 August 2026
Accepted: 20 August 2026
Published: 30 September 2026
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Authors |
| Song Sun | |
| Institute for Advanced Study in
Mathematics Zhejiang University Hangzhou China |
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| Junsheng Zhang | |
| Courant Institute of Mathematical
Sciences New York University New York, NY United States |
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| © 2027 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
