A preparation theorem for codimension one foliations
微分几何
2007-06-25 v1 复变函数
摘要
After gluing foliated complex manifolds, we derive a preparation-like theorem for singularities of codimension one foliations and planar vector fields (in the real or complex setting). Without computation, we retrieve and improve results of Levinson-Moser for functions, Dufour-Zhitomirskii for non degenerate codimension 1 foliations (proving in turn the analyticity), Strozyna-Zoladek for non degenerate planar vector fields and Brjuno-Ecalle for saddle-node foliations in the plane.
引用
@article{arxiv.math/0402411,
title = {A preparation theorem for codimension one foliations},
author = {Frank Loray},
journal= {arXiv preprint arXiv:math/0402411},
year = {2007}
}