Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities

Abstract

This is the first of a series of three papers which provide proofs of results announced recently in arXiv:1210.7494.

References in corpus (4)

• A Brunn-Minkowski type inequality for Fano manifolds and the Bando-Mabuchi uniqueness theorem
• Conical Kahler-Einstein metric revisited
• Singular Kahler-Einstein metrics
• Kahler-Einstein metrics and stability

Cited by in corpus (5)

• Extremal Kähler metrics
• Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theorem
• On the regularity problem of complex Monge-Ampere equations with conical singularities
• Orbifold regularity of weak Kahler-Einstein metrics
• $C^{2,\alpha }$-estimate for Monge-Ampere equations with Hölder-continuous right hand side