Nef value of homogeneous line bundles and related vanishing theorems.
New representation of the non-symmetric homogeneous bounded domains in and .
Nonadmissible convergence in symmetric spaces.
Nonfactorization theorems for Hardy and Bergman spaces on bounded symmetric domains
Non-Kähler compact complex manifolds associated to number fields
For algebraic number fields with real and complex embeddings and “admissible” subgroups of the multiplicative group of integer units of we construct and investigate certain -dimensional compact complex manifolds . We show among other things that such manifolds are non-Kähler but admit locally conformally Kähler metrics when . In particular we disprove a conjecture of I. Vaisman.
Nonlinear Equivariant Automorphisms.
Noyau de Cauchy-Szegö d'un espace symétrique de type Cayley
Dans cet article, en utilisant les algèbres de Jordan euclidiennes, nous étudions l’espace de Hardy d’un espace symétrique de type Cayley . Nous montrons que le noyau de Cauchy-Szegö de s’exprime comme somme d’une série faisant intervenir la fonction de Harish-Chandra de l’espace symétrique riemannien , la fonction de l’espace symétrique -dual de et les fonctions sphériques de l’espace symétrique ordonné . Nous établissons, dans le cas où la dimension de l’algèbre de Jordan associée...
Oka manifolds: From Oka to Stein and back
Oka theory has its roots in the classical Oka-Grauert principle whose main result is Grauert’s classification of principal holomorphic fiber bundles over Stein spaces. Modern Oka theory concerns holomorphic maps from Stein manifolds and Stein spaces to Oka manifolds. It has emerged as a subfield of complex geometry in its own right since the appearance of a seminal paper of M. Gromov in 1989.In this expository paper we discuss Oka manifolds and Oka maps. We describe equivalent characterizations...
On 3-graded Lie algebras, Jordan pairs and the canonical kernel function.
On a group of holomorphic transformations in
On actions of on algebraic spaces
The main result of the paper says that all schematic points of the source of an action of on an algebraic space are schematic on .
On Automorphism Groups of Compact Kähler Manifolds.
On Automorphisms of Complements of Analytic Subsets in Cn.
On c-actions on compact complex manifolds with many compact orbits.
On certain groups of holomorphic maps
On commutation relations for 3-graded Lie algebras.
On Compact Complex Manifolds with Finite Automorphism Group
It is known that compact complex manifolds of general type and Kobayashi hyperbolic manifolds have finite automorphism groups. We give criteria for finiteness of the automorphism group of a compact complex manifold which allow us to produce large classes of compact complex manifolds with finite automorphism group but which are neither of general type nor Kobayashi hyperbolic.
On compact orbits in singular Kähler spaces
For a complex solvable Lie group acting holomorphically on a Kähler manifold every closed orbit is isomorphic to a torus and any two such tori are isogenous. We prove a similar result for singular Kähler spaces.
On Continuous Dynamics of automorphisms of C2.
On differential operators attached to certain representations of classical groups.