Work

A Matsushima theorem, uniqueness and K-polystability for Kähler-Ricci shrinkers

Year: 2026

Type: preprint

Abstract: For noncompact smooth Kähler-Ricci shrinkers, we prove a Matsushima theorem identifying the centralizer of the soliton field with the complexification of its Killing centralizer, uniqueness up to biholomorphism on a fixed complex manifold, and K-polystability of the associated polarized Fano fibration.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.03592

Authors: Esparza, Carlos, Zhang, Junsheng

Institutions: 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: green

OpenAlex ID: W7220465930

Cites: 1

Cited by:

Related to: 10