Work

Remarks on weakly pseudoconvex boundaries

Year: 2007

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0711.0225

Authors: Brinkschulte, Judith, Hill, C. Denson, Nacinovich, Mauro

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2044764628

Cites: 6

Cited by:

Related to: 10