Germs of local automorphisms of real-analytic CR structures and analytic dependence on $k$-jets
Complex Variables
2007-05-23 v1
Abstract
The topic of the paper is the study of germs of local holomorphisms between and such that and for and generic real-analytic CR submanifolds of arbitrary codimensions. It is proved that for minimal and finitely nondegenerate, such germs depend analytically on their jets. As a corollary, an analytic structure on the set of all germs of this type is obtained.
Keywords
Cite
@article{arxiv.math/9801041,
title = {Germs of local automorphisms of real-analytic CR structures and analytic dependence on $k$-jets},
author = {Dmitri Zaitsev},
journal= {arXiv preprint arXiv:math/9801041},
year = {2007}
}
Comments
17 pages