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 (6)

• Kahler-Einstein metrics with edge singularities
• The greatest Ricci lower bound, conical Einstein metrics and the Chern number inequality
• Geodesics in the space of Kähler cone metrics
• Uniqueness of constant scalar curvature Kähler metrics with cone singularities, I: Reductivity
• Construction of constant scalar curvature Kähler cone metrics
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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