Elementary Pseudoconcavity and fields of CR meromorphic functions
Complex Variables
2007-10-29 v1 Algebraic Geometry
Analysis of PDEs
Abstract
Let M be a smooth CR manifold of CR dimension n and CR codimension k, which is not compact, but has the local extension property E. We introduce the notion of "elementary pseudoconcavity" for M, which extends to CR manifolds the concept of a "pseudoconcave" complex manifold. This notion is then used to obtain generalizations, to the noncompact case, of the results of our previous paper about algebraic dependence, transcendence degree and related matters for the field K(M) of CR meromorphic functions on M.
Keywords
Cite
@article{arxiv.0710.5031,
title = {Elementary Pseudoconcavity and fields of CR meromorphic functions},
author = {C. Denson Hill and Mauro Nacinovich},
journal= {arXiv preprint arXiv:0710.5031},
year = {2007}
}