Finite Type Monge-Ampère Foliations

Details Finite Type Monge-Ampère Foliations Finite Type Monge-Ampère Foliations

2005-05-27

arxiv.org/abs/math/0505615v4

Mathematics

Complex Variables

Scientific paper

In this paper we extend our previous work on singularities of Monge-Amp\`ere 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-Amp\`ere 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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