On the embedding problem for 1-convex spaces
Vo Van Tan · Transactions of the American Mathematical Society · 1979
In this paper we provide a necessary and sufficient condition for 1-convex spaces (i.e., strongly pseudoconvex spaces) which can be realized as closed analytic subvarieties in some C N × P M {C^N} \times {P_M} . A construction of some normal 3-dimensional 1-convex space which cannot be embedded in any C N × P M {C^N} \times {P_M} is given. Furthermore, we construct explicitly a non-kählerian 3-dimensional 1-convex manifold which answers a question posed by Grauert.