Obstructions to generic embeddings
| dc.creator | Brinkschulte, Judith | |
| dc.creator | Hill, C. Denson | |
| dc.creator | Nacinovich, Mauro | |
| dc.date | 2007-11-02 | |
| dc.date.accessioned | 2026-07-07T08:40:05Z | |
| dc.date.available | 2026-07-07T08:40:05Z | |
| dc.description | In Grauert's paper [G] it is noted that finite dimensionality of cohomology groups sometimes implies vanishing of these cohomomogy groups. Later on Laufer formulated a zero or infinity law for the cohomology groups of domains in Stein manifolds. In this paper we generalize Laufer's Theorem in [L] and its version for small domains of CR manifolds, proved in [Br], by considering Whitney cohomology on locally closed subsets and cohomology with supports for currents. With this approach we obtain a global result for CR manifolds generically embedded in a Stein manifold. Namely a necessary condition for global embedding into an open subset of a Stein manifold is that the de-bar-M-cohomology groups must be either zero or infinite dimensional. | |
| dc.identifier | https://arxiv.org/abs/0711.0229 | |
| dc.identifier | http://arxiv.org/abs/0711.0229 | |
| dc.identifier | Ann. Inst. Fourier, Grenoble 52 (2002), 1785-1792 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141286 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 32V05 - 32V30 | |
| dc.title | Obstructions to generic embeddings | |
| dc.type | text |