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 C1,α, 0<α<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.
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