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.

Brinkschulte, J., Hill, C., Nacinovich, M. (2003). Remarks on weakly pseudoconvex boundaries. INDAGATIONES MATHEMATICAE, 14(1), 1-10 [10.1016/S0019-3577(03)90065-6].

Remarks on weakly pseudoconvex boundaries

NACINOVICH, MAURO
2003-01-01

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.
2003
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/03 - GEOMETRIA
English
Con Impact Factor ISI
Brinkschulte, J., Hill, C., Nacinovich, M. (2003). Remarks on weakly pseudoconvex boundaries. INDAGATIONES MATHEMATICAE, 14(1), 1-10 [10.1016/S0019-3577(03)90065-6].
Brinkschulte, J; Hill, C; Nacinovich, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/43631
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