Holomorphic Fibrations of Bounded Domains.
Remembering Aldo Andreotti
Remarks on Homogeneous Complex Manifolds Satisfying Levi Conditions
Homogeneous complex manifolds satisfying various types of Levi conditions are considered. Classical results which were of particular interest to Andreotti are recalled. Convexity and concavity properties of flag domains are discussed in some detail. A precise classification of pseudoconvex flag domains is given. It is shown that flag domains which are in a certain sense generic are pseudoconcave.
On the Thickness of the Shilov Boundary.
On Non-Compact Complex Nil-Manifolds.
Invariant plurisubharmonic exhaustions and retractions.
Pseudoconcave Lie groups
Characterization of cycle domains via Kobayashi hyperbolicity
A real form of a complex semi-simple Lie group has only finitely many orbits in any given -flag manifold . The complex geometry of these orbits is of interest, e.g., for the associated representation theory. The open orbits generally possess only the constant holomorphic functions, and the relevant associated geometric objects are certain positive-dimensional compact complex submanifolds of which, with very few well-understood exceptions, are parameterized by the Wolf cycle domains in...
The Levi Problem on Pseudoconvex Manifolds Which are not Strongly Pseudoconvex.
On k-Pseudoflat Complex Spaces.
Non-existence of proper holomorphic maps between certain complex manifolds.
On holomorphically separable complex solv-manifolds
Let be a solvable complex Lie group and a closed complex subgroup of . If the global holomorphic functions of the complex manifold locally separate points on , then is a Stein manifold. Moreover there is a subgroup of finite index in with nilpotent. In special situations (e.g. if is discrete) normalizes and is abelian.
Injectivity of the double fibration transform for cycle spaces of flag domains.
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