Regularity of geodesic rays and Monge-Ampere equations

Abstract

It is shown that the geodesic rays constructed as limits of Bergman geodesics from a test configuration are always of class $C^{1,\alpha },0<\alpha <1$. An essential step is to establish that the rays can be extended as solutions of a Dirichlet problem for a Monge-Ampere equation on a Kaehler manifold which is compact.

References in corpus (1)

• Test configurations and Geodesic rays