Poisson kernels and pluriharmonic -functions on homogeneous Siegel domains.
Polynomially growing pluriharmonic functions on Siegel domains
Let 𝓓 be a symmetric type two Siegel domain over the cone of positive definite Hermitian matrices and let N(Φ)S be a solvable Lie group acting simply transitively on 𝓓. We characterize polynomially growing pluriharmonic functions on 𝓓 by means of three N(Φ)S-invariant second order elliptic degenerate operators.
Pseudoconcave homogeneous manifolds
Pseudoconcave homogeneous surfaces.
Pseudo-Kählerina homogeneous spaces admitting a reductive transitive group of automorphisms.
Reductive Group Actions on Stein Spaces.
Satake Compactification and Extension of Holomorphic Mappings.
Smooth global complete intersections in certain compact homogenous complex manifolds.
Stratonovich-Weyl correspondence for the Jacobi group
We construct and study a Stratonovich-Weyl correspondence for the holomorphic representations of the Jacobi group.
Subvarieties of parallelizable manifolds.
Symmetries of holomorphic geometric structures on tori
We prove that any holomorphic locally homogeneous geometric structure on a complex torus of dimension two, modelled on a complex homogeneous surface, is translation invariant. We conjecture that this result is true in any dimension. In higher dimension, we prove it for G nilpotent. We also prove that for any given complex algebraic homogeneous space (X, G), the translation invariant (X, G)-structures on tori form a union of connected components in the deformation space of (X, G)-structures.
The Cohomological and Analytic Completeness of P(...2<Cn) G2'n .
The Kobayashi-Pseudodistance on Homogeneous Manifolds.
The Mergelyan-Bishop theorem in the case of mapping into homogeneous manifolds. II. Proof of the theorem and application.
The Picard Group of a complex quotient variety.
Transformation Groups on Homogeneous-Rational Manifolds.
Two remarks on Kähler homogeneous manifolds
We prove that every Kähler solvmanifold has a finite covering whose holomorphic reduction is a principal bundle. An example is given that illustrates the necessity, in general, of passing to a proper covering. We also answer a stronger version of a question posed by Akhiezer for homogeneous spaces of nonsolvable algebraic groups in the case where the isotropy has the property that its intersection with the radical is Zariski dense in the radical.
Uniformizing differential equations of several Hilbert modular orbifolds.
Varietà complesse a struttura grassmanniana
We define and study the notions of connections and structures of grassmannian type on complex manifolds.
Weyl quantization for the semidirect product of a compact Lie group and a vector space
Let be the semidirect product where is a semisimple compact connected Lie group acting linearly on a finite-dimensional real vector space . Let be a coadjoint orbit of associated by the Kirillov-Kostant method of orbits with a unitary irreducible representation of . We consider the case when the corresponding little group is the centralizer of a torus of . By dequantizing a suitable realization of on a Hilbert space of functions on where , we construct a symplectomorphism between...