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Finite Type Monge-Ampère Foliations

Morris Kalka·Giorgio Patrizio
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Abstract

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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Morris Kalka, Giorgio Patrizio. 2008-05-07. Finite Type Monge-Ampère Foliations. https://arxiv.org/abs/math/0505615

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