A Characterization of Complex Homogeneous Cones.
A classification of strictly pseudoconcave homogeneous manifolds
A description based on Schubert classes of cohomology of flag manifolds
We describe the integral cohomology rings of the flag manifolds of types Bₙ, Dₙ, G₂ and F₄ in terms of their Schubert classes. The main tool is the divided difference operators of Bernstein-Gelfand-Gelfand and Demazure. As an application, we compute the Chow rings of the corresponding complex algebraic groups, recovering thereby the results of R. Marlin.
A geometric embedding for standard analytic modules.
A method for weight multiplicity computation based on Berezin quantization.
A propos d'une conjecture de R. Hartshorne.
Adapted complex structures and Riemannian homogeneous spaces
We prove that every compact, normal Riemannian homogeneous manifold admits an adapted complex structure on its entire tangent bundle.
An obstruction to homogeneous manifolds being Kähler
Let be a connected complex Lie group, a closed, complex subgroup of and . Let be the radical and a maximal semisimple subgroup of . Attempts to construct examples of noncompact manifolds homogeneous under a nontrivial semidirect product with a not necessarily -invariant Kähler metric motivated this paper. The -orbit in is Kähler. Thus is an algebraic subgroup of [4]. The Kähler assumption on ought to imply the -action on the base of any homogeneous fibration is algebraic...
Automorphismes analytiques d'un domaine de Reinhardt borné d'un espace de Banach à base
Dans cet article, j’étudie le groupe des automorphismes analytiques d’un domaine de Reinhardt borné d’un espace de Banach complexe à base. Je montre que, dans certains cas, ce groupe est un groupe de Lie banachique réel et je donne une classification complète des domaines de Reinhardt bornés homogènes. Pour certains espaces de Banach, je montre que les seuls automorphismes analytiques de la boule-unité ouverte sont linéaires.
Barth-Lefschetz theorems for singular spaces.
Beispiel homogener Mannigfaltigkeiten.
Berezin transform for non-scalar holomorphic discrete series
Let be a Hermitian symmetric space of the non-compact type and let be a discrete series representation of which is holomorphically induced from a unitary irreducible representation of . In the paper [B. Cahen, Berezin quantization for holomorphic discrete series representations: the non-scalar case, Beiträge Algebra Geom., DOI 10.1007/s13366-011-0066-2], we have introduced a notion of complex-valued Berezin symbol for an operator acting on the space of . Here we study the corresponding...
Beweis einer Vermutung von Hartshorne für den Fall homogener Mannigfaltigkeiten.
Bounds for the anticanonical bundle of a homogeneous projective rational manifold.
Characterization of the Unit Ball in Cn by Its Automorphism Group.
Classification of irreducible holonomies of torsion-free affine connections.
Compact Varieties of Surjective Holomorphic Mappings.
Compactifications équivariantes par des courbes
Complex analytic geometry of complex parallelizable manifolds
Complex structure contained in classical groups.