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Remarks on weakly pseudoconvex boundaries
- Source :
- Indagationes Mathematicae. 18:1-2
- Publication Year :
- 2007
- Publisher :
- Elsevier BV, 2007.
-
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 Poincaré problem for CR meromorphic functions on the weakly pseudoconvex boundary M.
- Subjects :
- Mathematics(all)
Pure mathematics
General Mathematics
32V15
Boundary (topology)
Local cohomology
Domain (mathematical analysis)
Mathematics - Algebraic Geometry
symbols.namesake
Mathematics - Analysis of PDEs
Stein manifold
FOS: Mathematics
Point (geometry)
Complex Variables (math.CV)
Algebraic Geometry (math.AG)
Meromorphic function
Mathematics
Mathematics - Complex Variables
Mathematics::Complex Variables
32V05
Cohomology
Poincaré conjecture
symbols
Settore MAT/03 - Geometria
Analysis of PDEs (math.AP)
Subjects
Details
- ISSN :
- 00193577
- Volume :
- 18
- Database :
- OpenAIRE
- Journal :
- Indagationes Mathematicae
- Accession number :
- edsair.doi.dedup.....cd69e69645344792eae57737a2a5137a