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

Haozhao Li; Bing Wang; Kai Zheng

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arXiv · 2610.14870

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

Haozhao Li·Bing Wang·Kai Zheng

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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.

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Haozhao Li, Bing Wang, Kai Zheng. 2026-10-10. Global $C^{2,α}$ estimate for complex Monge--Ampère equations on compact Kähler manifolds. https://arxiv.org/abs/2610.14870

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