Finite Type Monge-Amp\`ere Foliations
Complex Variables
2008-05-07 v4 Differential Geometry
Abstract
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.
Cite
@article{arxiv.math/0505615,
title = {Finite Type Monge-Amp\`ere Foliations},
author = {Morris Kalka and Giorgio Patrizio},
journal= {arXiv preprint arXiv:math/0505615},
year = {2008}
}