Finite Type Monge-Ampère Foliations

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In this paper we extend our previous work on singularities of Monge-Ampère foliations to the case of pseudoconvex finite type domains. We are able to answer the questin of Burns on homogeneous polynomials whose logarithm satisfies the complex Monge-Ampère equation completely in dimension 2 . We are also able to generalize the work of P.M. Wong in dimension 2 on the classification of complete weighted circular domains to include finite type domains.

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Complex Variables, Differential Geometry, 32F18, 53C56

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http://salesiana.dossiersoluciones.com/handle/123456789/160432

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505615
 http://arxiv.org/abs/math/0505615

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arXiv