Complex Subspaces of Homogeneous Complex Manifolds. I. Submanifolds of Abelian Varieties.
Decomposition of Compact Complex Varieties and the Cancellation Problem.
Differential operators on homogeneous spaces. III. Characteristic varieties of Harish Chandra modules and of primitive ideals.
Elargissement du groupe d'automorphismes pour des variétés quasi-homogenes.
Estimates for the Poisson kernels and a Fatou type theorem applications to analysis on Siegel domains
This is a short description of some results obtained by Ewa Damek, Andrzej Hulanicki, Richard Penney and Jacek Zienkiewicz. They belong to harmonic analysis on a class of solvable Lie groups called NA. We apply our results to analysis on classical Siegel domains.
Fasthomogene Kählermannigfaltigkeiten mit verschwindender erster Bettizahl.
Global Parametrization of Scalar Holomorphic Coadjoint Orbits of a Quasi-Hermitian Lie Group
Let be a quasi-Hermitian Lie group with Lie algebra and be a compactly embedded subgroup of . Let be a regular element of which is fixed by . We give an explicit -equivariant diffeomorphism from a complex domain onto the coadjoint orbit of . This generalizes a result of [B. Cahen, Berezin quantization and holomorphic representations, Rend. Sem. Mat. Univ. Padova, to appear] concerning the case where is associated with a unitary irreducible representation of which is holomorphically...
Hodge theory for twisted differentials
We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C of Fujiki. We give a Hodgetheoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.
Holomorphic automorphisms of the tube domain over the Vinberg cone
In questo articolo si determina il gruppo di tutti gli automorfismi olomorfi del dominio tubolare sul cono di Vinberg. Tale dominio ha dimensione complessa 5 ed è il dominio tubolare omogeneo non simmetrico di dimensione più bassa. Si costruisce esplicitamente un gruppo transitivo di automorfismi olomorfi del dominio; successivamente, dimostrando che tale gruppo contiene l'intero sottogruppo di isotropia di un qualunque punto, si ottiene che esso coincide col gruppo di tutti gli automorfismi olomorfi...
Holomorphic Maps of Generalized Iwasawa Manifolds.
Holomorphic Vector-Fields on Compact Kaehler Manifolds.
Homogeneous bundles and the first eigenvalue of symmetric spaces
In this note we prove the stability of the Gieseker point of an irreducible homogeneous bundle over a rational homogeneous space. As an application we get a sharp upper estimate for the first eigenvalue of the Laplacian of an arbitrary Kähler metric on a compact Hermitian symmetric spaces of ABCD–type.
Homogeneous -hypersurface-structures on spheres
Homogeneous C R-manifolds.
Homogeneous Complex Surfaces.
Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms
Horizontal SL2-Orbits in Flag Domains.
Invariant Analytic Hypersurfaces.
Invariant hyperbolic Stein domains.
Invariant operators and pluriharmonic functions on symmetric irreducible Siegel domains
Let D be a symmetric irreducible Siegel domain. Pluriharmonic functions satisfying a certain rather weak growth condition are characterized by r+2 operators (r+1 in the tube case), r being the rank of the underlying symmetric cone