7 citations · 19 across the 25 of their papers we have counts for
11 papers · 1 filter
Weak pseudoconcavity and the maximum modulus principle
C. Denson Hill, Mauro Nacinovich
We discuss the maximum modulus principle, and weak unique continuation, for CR functions on an abstract almost CR manifold M. We investigate these matters under the assumption of w…
Obstructions to generic embeddings
Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich
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 infi…
The Poincare lemma and local embeddability
Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich
For pseudoconvex abstract CR manifolds, the validity of the Poincare Lemma for (0,1) forms implies local embeddability in C^N. The two properties are equivalent for hypersurfaces o…
Remarks on weakly pseudoconvex boundaries
Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich
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 cohomo…
Remarks on weakly pseudoconvex boundaries: Erratum
Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich
We make two tiny corrections to our previous paper with the same title, and also obtain, as a bonus, something new.
Orbits of real forms in complex flag manifolds
Andrea Altomani, Costantino Medori, Mauro Nacinovich
We investigate the geometry of the orbits of a real form of a complex simple group in a complex flag manifold . We are mainly concerned with finite type,…