Resumen de Regularity of geodesic rays and Monge-Ampère equations

Duong H. Phong, Jacob Sturm

• It is shown that the geodesic rays constructed as limits of Bergman geodesics from a test configuration are always of class , . An essential step is to establish that the rays can be extended as solutions of a Dirichlet problem for a Monge-Ampère equation on a Kähler manifold which is compact.