Convergence and finite determination of formal CR mappings
Complex Variables
2007-05-23 v1
Abstract
It is shown that a formal mapping between two real-analytic hypersurfaces in complex space is convergent provided that neither hypersurface contains a nontrivial holomorphic variety. For higher codimensional generic submanifolds, convergence is proved e.g. under the assumption that the source is of finite type, the target does not contain a nontrivial holomorphic variety, and the mapping is finite. Finite determination (by jets of a predetermined order) of formal mappings between smooth generic submanifolds is also established.
Keywords
Cite
@article{arxiv.math/9904085,
title = {Convergence and finite determination of formal CR mappings},
author = {M. S. Baouendi and P. Ebenfelt and L. P. Rothschild},
journal= {arXiv preprint arXiv:math/9904085},
year = {2007}
}
Comments
AMS-TeX (amsppt); 29 pages