The Dirichlet problem for degenerate complex Monge-Ampere equations

Details The Dirichlet problem for degenerate complex Monge-Ampere equations The Dirichlet problem for degenerate complex Monge-Ampere equations

2009-04-13

arxiv.org/abs/0904.1898v1

Mathematics

Differential Geometry

Scientific paper

The Dirichlet problem for a Monge-Ampere equation corresponding to a nonnegative, possible degenerate cohomology class on a Kaehler manifold with boundary is studied. C^{1,\alpha} estimates away from a divisor are obtained, by combining techniques of Blocki, Tsuji, Yau, and pluripotential theory. In particular, C^{1,\alpha} geodesic rays in the space of Kaehler potentials are constructed for each test configuration

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