23 citations · 59 across the 33 of their papers we have counts for
44 papers
Nonprojective -manifolds
Blake Boudreaux, Rasul Shafikov
In a previous paper, the authors introduced, by analogy with Stein manifolds, a class of complex manifolds called -manifolds. This class contains all complex projectiv…
Meromorphic Convexity on Complex Manifolds
Blake J Boudreaux, Rasul Shafikov
The notion of meromorphic convexity is defined and studied on complex manifolds. Using this notion, in analogy with Stein manifolds, a new class of complex manifolds, called {\call…
Polynomially convex embeddings and CR singularities of real manifolds
Purvi Gupta, Rasul Shafikov
It is proved that any smooth manifold of dimension admits a smooth polynomially convex embedding into when . Further, such…
Levi-flats in : a survey for nonexperts
Rasul Shafikov
This survey paper, aimed at nonexperts in the field, explores various proofs of nonexistence of real analytic Levi-flat hypersurfaces in , . Some generalizations…
Meromorphic convexity on Stein manifolds
Blake J. Boudreaux, Rasul Shafikov
We consider generalizations of rational convexity to Stein manifolds and prove related results
Hypersurface Convexity and Extension of Kähler Forms
Blake J. Boudreaux, Purvi Gupta, Rasul Shafikov
The following generalization of a result of S. Nemirovski is proved: if is either a projective or a Stein manifold and is a compact sublevel set of a strictly plur…