Work

Scalar curvature bounds and tangent cones for Kähler--Ricci shrinkers

Year: 2026

Type: preprint

Abstract: We prove a uniform scalar curvature bound, depending only on the dimension, for Kähler--Ricci shrinkers. We also prove that every noncompact Kähler--Ricci shrinker has a unique tangent cone at infinity, naturally homeomorphic to the base of its polarized Fano fibration. For shrinkers with maximal volume growth, this cone is isometric to the metric completion of the regular part equipped with the intrinsic distance induced by the limiting Kähler metric.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.05643

Authors: Li, Yu, Zhang, Junsheng

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Chinese Academy of Sciences, University of Science and Technology of China

OpenAlex ID: W7220720922

Cites: 12

Cited by: 1

Related to: 10