Obstructions to generic embeddings
Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich (2002)
Annales de l’institut Fourier
Similarity:
Let be a relatively closed subset of a Stein manifold. We prove that the -cohomology groups of Whitney forms on and of currents supported on are either zero or infinite dimensional. This yields obstructions of the existence of a generic embedding of a CR manifold into any open subset of any Stein manifold, namely by the nonvanishing but finite dimensionality of some intermediate -cohomology groups.