Remarks on weakly pseudoconvex boundaries

Details Remarks on weakly pseudoconvex boundaries Remarks on weakly pseudoconvex boundaries

2007-11-02

arxiv.org/abs/0711.0225v1

Indag. Mathem., N.S., 14 (2003), 1-10

Mathematics

Complex Variables

Scientific paper

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.

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