Generalized order and best approximation of entire function in -norm.
Generically strongly -convex complex manifolds
Suppose is a real analytic plurisubharmonic exhaustion function on a connected noncompact complex manifold . The main result is that if the real analytic set of points at which is not strongly -convex is of dimension at most , then almost every sufficiently large sublevel of is strongly -convex as a complex manifold. For of dimension , this is a special case of a theorem of Diederich and Ohsawa. A version for real analytic with corners is also obtained.
Geodesic Convexity and Plurisubharmonicity on Hermitian Manifolds.
Geometric invariant theory on Stein spaces.
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II.
Global integral formulas for solving the -equation on Stein manifolds
Grauert's line bundle convexity, reduction and Riemann domains
We consider a convexity notion for complex spaces with respect to a holomorphic line bundle over . This definition has been introduced by Grauert and, when is analytically trivial, we recover the standard holomorphic convexity. In this circle of ideas, we prove the counterpart of the classical Remmert’s reduction result for holomorphically convex spaces. In the same vein, we show that if separates each point of , then can be realized as a Riemann domain over the complex projective space...
Groupes de cohomologie d'un fibré holomorphe à base et à fibre de Stein.