Remarks on weakly pseudoconvex boundaries
Complex Variables
2007-11-06 v1 Algebraic Geometry
Analysis of PDEs
Abstract
In this paper, we consider the boundary M of a weakly pseudoconvex domain in a Stein manifold. We point out a striking difference between the local cohomology and the global cohomology of M, and illustrate this with an example. We also discuss the first and second Cousin problems, and the strong Poincare problem for CR meromorphic functions on the weakly pseudoconvex boundary M.
Keywords
Cite
@article{arxiv.0711.0225,
title = {Remarks on weakly pseudoconvex boundaries},
author = {Judith Brinkschulte and C. Denson Hill and Mauro Nacinovich},
journal= {arXiv preprint arXiv:0711.0225},
year = {2007}
}