Dicritical singularities and laminar currents on Levi-flat hypersurfaces
Complex Variables
2018-01-17 v2 Dynamical Systems
Abstract
We establish an effective criterion for a dicritical singularity of a real analytic Levi-flat hypersurface. The criterion is stated in terms of the Segre varieties. As an application, we obtain a structure theorem for some class of currents in the nondicritical case.
Keywords
Cite
@article{arxiv.1606.02140,
title = {Dicritical singularities and laminar currents on Levi-flat hypersurfaces},
author = {Sergey Pinchuk and Rasul Shafikov and Alexandre Sukhov},
journal= {arXiv preprint arXiv:1606.02140},
year = {2018}
}
Comments
11 pages. To appear in Izv. Math