Expansion formula for complex Monge-Ampère equation along cone singularities

Abstract

In this paper, we prove the asymptotic expansion of the solutions to some singular complex Monge-Ampère equation which arise naturally in the study of the conical Kähler-Einstein metric.

References in corpus (3)

• Uniqueness of constant scalar curvature Kähler metrics with cone singularities, I: Reductivity
• Construction of constant scalar curvature Kähler cone metrics
• Generalized Matsushima's theorem and Kähler-Einstein cone metrics

Cited by in corpus (3)

• Existence of constant scalar curvature Kaehler cone metrics, properness and geodesic stability
• Geodesics in the space of Kahler cone metrics, II. Uniqueness of constant scalar curvature Kahler cone metrics
• Schauder estimates for equations with cone metrics, II