Work

Type I estimates for the Kahler-Ricci flow I

Year: 2026

Type: preprint

Abstract: We establish the Type I estimate for the scalar curvature of the Kahler-Ricci flow on compact Kahler manifolds, for arbitrary smooth initial metrics, whenever the flow develops finite time singularities. This estimate is a building block for the analytic minimal model program with Ricci flow.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.39620

Authors: Jian, Wangjian, Song, Jian

Institutions: Rutgers, The State University of New Jersey, Chinese Academy of Sciences, Academy of Mathematics and Systems Science

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Natural Science Foundation of China

Awards: G1603846912, Analysis and PDEs in complex geometry, G2781161061, G4708255020, G8167641167, G8533620077

OpenAlex ID: W7215092325

Cites: 15

Cited by: 4

Related to: 10