Analytic sheaves in Banach spaces
Boundary Behavior of Proper Holomorphic Correspondences.
Cartan-Chern-Moser theory on algebraic hypersurfaces and an application to the study of automorphism groups of algebraic domains
For a strongly pseudoconvex domain defined by a real polynomial of degree , we prove that the Lie group can be identified with a constructible Nash algebraic smooth variety in the CR structure bundle of , and that the sum of its Betti numbers is bounded by a certain constant depending only on and . In case is simply connected, we further give an explicit but quite rough bound in terms of the dimension and the degree of the defining polynomial. Our approach is to adapt the Cartan-Chern-Moser...
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II.
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...
Inner functions in the ball
Linéarisation de la notion de convexité par rapport à un ensemble de fonctions
Sur des applications du calcul fonctionnel holomorphe
Une contrainte géométrique pour certaines sous-variétés rationnellement convexes.
Uniform Approximation on Manifolds.
Рациональные аппроксимации и плюриполярные множества
Сильная линейная выпуклость II. Cуществование голоморфных решений линейных систем уравнений