Kähler–Ricci shrinkers and Fano fibrations, I
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.
Authors
- J. Zhang (ORCID: https://orcid.org/0000-0002-7526-1155)
- Song Sun
Institutions
- Courant Institute of Mathematical Sciences (US)
- New York University (US)
- Zhejiang University (CN)
Publication Details
- Journal
- Courant Journal of Pure and Applied Mathematics
- Published
- 2026-10-17
- DOI
- https://doi.org/10.2140/courant.2027.1.25
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Zhejiang University