-conjugacy of holomorphic flows near a singularity
C*-actions.
Caractérisation des ellipsoïdes par leurs groupes d'automorphismes
Characterization of cycle domains via Kobayashi hyperbolicity
A real form of a complex semi-simple Lie group has only finitely many orbits in any given -flag manifold . The complex geometry of these orbits is of interest, e.g., for the associated representation theory. The open orbits generally possess only the constant holomorphic functions, and the relevant associated geometric objects are certain positive-dimensional compact complex submanifolds of which, with very few well-understood exceptions, are parameterized by the Wolf cycle domains in...
Characterization of the Unit Ball in Cn by Its Automorphism Group.
Classical projective geometry and arithmetic groups.
Classification of irreducible holonomies of torsion-free affine connections.
Classification of recurrent domains for some holomorphic maps.
Classification of singular germs of mappings and deformations of compact surfaces of class VII₀
We classify generic germs of contracting holomorphic mappings which factorize through blowing-ups, under the relation of conjugation by invertible germs of mappings. As for Hopf surfaces, this is the key to the study of compact complex surfaces with and which contain a global spherical shell. We study automorphisms and deformations and we show that these generic surfaces are endowed with a holomorphic foliation which is unique and stable under any deformation.
Coherent states and symmetric spaces. II
Cohomology of Twisted Holomorphic Forms on Grassmann Manifolds and Quadric Hypersurfaces.
Compact manifold of coherent states invariant by semisimple Lie groups
Compact quotients of large domains in complex projective space
We study compact complex manifolds covered by a domain in -dimensional projective space whose complement is non-empty with -dimensional Hausdorff measure zero. Such manifolds only exist for . They do not belong to the class , so they are neither Kähler nor Moishezon, their Kodaira dimension is , their fundamental groups are generalized Kleinian groups, and they are rationally chain connected. We also consider the two main classes of known 3-dimensional examples: Blanchard manifolds, for which...
Compact Varieties of Surjective Holomorphic Endomorphisms.
Compact Varieties of Surjective Holomorphic Mappings.
Compactification of complete Kähler surfaces with negative Ricci curvature.
Compactification of parahermitian symmetric spaces and its applications. II: Stratifications and automorphism groups.
Compactification structure and conformal compressions of symmetric cones.
Compactifications équivariantes non kählériennes d'un groupe algébrique multiplicatif
On utilise les variétés LV-M pour construire des compactifications équivariantes d’un groupe avec une variété d’Albanèse nulle mais telles que l’espace des formes holomorphes fermées de degré 1 soit non nul et de dimension inférieure à .
Compactifications équivariantes par des courbes