Work

Kähler–Ricci shrinkers and Fano fibrations, I

Year: 2026

Type: article

Abstract: 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.

Source: Courant Journal of Pure and Applied Mathematics

DOI: 10.2140/courant.2027.1.25

Authors: Song Sun, Junsheng Zhang

Institutions: Zhejiang University, Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Zhejiang University

Award: Mathematical Sciences Research Institute (MSRI)

OpenAlex ID: W7222825830

FWCI:

Cites: 36

Cited by:

Related to: