Work

Global $C^{2,α}$ estimate for complex Monge--Ampère equations on compact Kähler manifolds

Year: 2026

Type: preprint

Abstract: In this paper, we prove a global $C^{2,α}$ estimate for the complex Monge--Ampère equation with a positive $C^α$ right-hand side on a compact Kähler manifold.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.14870

Authors: Li, Haozhao, Wang, Bing, Zheng, Kai

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, University of Science and Technology of China

Awards: G7127922358, G8471289706

OpenAlex ID: W7221793766

Cites: 3

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Related to: 10