-actions on are linearizable.
A Borel-Weil theorem for holomorphic forms
A Characterization of Complex Homogeneous Cones.
A classification of strictly pseudoconcave homogeneous manifolds
A compactification of with no non-constant meromorphic functions
For each 2-dimensional complex torus , we construct a compact complex manifold with a -action, which compactifies such that the quotient of by the -action is biholomorphic to . For a general , we show that has no non-constant meromorphic functions.
A Geometric Algebraicity Property for Moduli Spaces of Compact Kähler Manifolds with h 2, 0 = 1.
A local form for the automorphisms of the spectral unit ball.
A method for weight multiplicity computation based on Berezin quantization.
A Note on Coherent G-Sheaves.
A splitting criterion for two-dimensional semi-tori.
A Wong-Rosay type theorem for proper holomorphic self-maps
In this short paper, we show that the only proper holomorphic self-maps of bounded domains in whose iterates approach a strictly pseudoconvex point of the boundary are automorphisms of the euclidean ball. This is a Wong-Rosay type theorem for a sequence of maps whose degrees are a priori unbounded.
Action d'une forme réelle d'un groupe de Lie complexe sur les fonctions plurisousharmoniques
Soit un groupe de Lie complexe et une forme réelle fermée de . Un couple est dit pseudo-convexe, s’il existe sur une fonction régulière, strictement p.s.h., invariante par l’action de et d’exhaustion sur . On dit que est à spectre imaginaire pur, si pour tout de Lie, les valeurs propres de ad sont imaginaires pures. Pour à radical simplement connexe, cette dernière propriété équivaut à la pseudo-convexité de . Pour pseudo-convexe et sous une hypothèse de sous-groupe discret,...
Actions of Complex Lie Groups on Analytic ...-Algebras.
An Infinitesimal Version of Cartan's Uniqueness Theorem.
Analytic isomorphisms of infinite dimensional polydiscs and an application
Analytische periodische Strömungen auf kompakten komplexen Räumen.
Approximation by automorphisms on smooth submanifolds of C...
Approximation für Oskasche Paare von Garben homogener Räume.
Äquivariante Kompaktifizierungen des Cn.
Auto-applications holomorphes propies des domaines polynomiaux rigides de C2.
We show that proper holomorphic self maps of pseudoconvex rigid polynomial domains in C2 are automorphisms.