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Continuity of Monge-Ampère Potentials on compact Hermitian manifolds

组织者

林耿龙 , Enric Sole Farre , 张蓥莹

演讲者

Dang Quang Tuan

时间

2026年04月08日 14:00 至 15:30

地点

A3-4-101

摘要

We prove a uniform estimate for the continuity of solutions to complex Monge--Ampère equations on compact Hermitian manifolds, using an auxiliary function method. As an application, we derive a uniform diameter bound for Hermitian metrics along the weak Chern--Ricci flow. Our approach also extends to the study of H\"older regularity of the least singular solution to the complex Monge--Ampère equation with a big reference form, as considered in [Boucksom, Guedj, Lu, {\it Peking Math J} (2025).]