Engel theorem through singularities
Complex Variables
2018-10-15 v3 Algebraic Geometry
Abstract
We prove a singular version of the Engel theorem. We prove a normal form theorem for germs of holomorphic singular Engel systems with good conditions on its singular set. As an application, we prove that there exists an integral analytic curve passing through the singular points of the system. Also, we prove that a globally decomposable Engel system on a four dimensional projective space has singular set with atypical codimension.
Cite
@article{arxiv.1303.4712,
title = {Engel theorem through singularities},
author = {Maurício Corrêa and Luis G. Maza},
journal= {arXiv preprint arXiv:1303.4712},
year = {2018}
}
Comments
To appear in Bulletin des Sciences Math\'ematiques. Major changes following suggestions of the referee