Work

Quantitative stability for the complex Monge-Ampère equations II

Year: 2025

Type: article

Abstract: This is a continuation of our previous work on quantitative stability for complex Monge-Ampère equation. In the recent paper [21], we treated the stability question for fixed cohomology classes and fixed prescribed singularity types. In this work, we establish quantitative stability estimates for complex Monge-Ampère equations when both the cohomology class and the prescribed singularity vary.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-03135-x

Authors: Hoang-Son Do, Duc-Viet Vu

Institutions: Institute of Mathematics, Vietnam Academy of Science and Technology, University of Cologne

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche