Work

Finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I

Year: 2026

Type: preprint

Abstract: For any volume-collapsing finite-time singularity of a Kähler-Ricci flow on a compact Kähler surface, we show the flow satisfies a Type I curvature bound and classify the corresponding tangent flows. Combined with previous results, this shows that any finite-time singularity of a Kähler-Ricci flow on a compact Kähler surface is of Type I.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.16733

Authors: Cifarelli, Charles, Conlon, Ronan, Hallgren, Max, Zhang, Junsheng

Institution: Tufts University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213402206

Cites: 1

Cited by: 3

Related to: 10