Holomorphic maps of real submanifolds in complex spaces of different dimensions
Complex Variables
2007-05-23 v1
Abstract
We define a new local invariant (called degeneracy) associated to a triple (M,M',H), where M and M' are real submanifolds of C^N and C^N', respectively, and H: M->M' is either a holomorphic map, a formal holomorphic map, or a smooth CR-map. We use this invariant to find sufficient conditions under which finite jet dependence, convergence and algebraicity results hold.
Keywords
Cite
@article{arxiv.math/9911057,
title = {Holomorphic maps of real submanifolds in complex spaces of different dimensions},
author = {Bernhard Lamel},
journal= {arXiv preprint arXiv:math/9911057},
year = {2007}
}
Comments
AMSTeX, 25 pages