Regularity of geodesic rays and Monge-Ampère equations

• Autores: Duong H. Phong, Jacob Sturm
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3637-3650
• Idioma: inglés
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• Resumen

  • 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.