Most real analytic Cauchy-Riemann manifolds are nonalgebraizable
Complex Variables
2007-05-23 v2
Abstract
We give a very simple argument to the effect that most germs of generic real analytic Cauchy-Riemann manifolds of positive CR dimension are not holomorphically embeddable into any generic real algebraic CR manifold of the same real codimension in a finite dimensional space. In particular, most such germs are not holomorphically equivalent to a germ of a generic real algebraic CR manifold.
Cite
@article{arxiv.math/0406210,
title = {Most real analytic Cauchy-Riemann manifolds are nonalgebraizable},
author = {Franc Forstneric},
journal= {arXiv preprint arXiv:math/0406210},
year = {2007}
}
Comments
To appear in Manuscripta Math