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...
Classification of recurrent domains for some holomorphic maps.
Compact manifold of coherent states invariant by semisimple Lie groups
Compact Varieties of Surjective Holomorphic Endomorphisms.
Compact Varieties of Surjective Holomorphic Mappings.
Compactification of complete Kähler surfaces with negative Ricci curvature.
Compactifications équivariantes par des courbes
Complexification of proper hamiltonian -spaces
Complex-symmetric spaces
A compact complex space is called complex-symmetric with respect to a subgroup of the group , if each point of is isolated fixed point of an involutive automorphism of . It follows that is almost -homogeneous. After some examples we classify normal complex-symmetric varieties with reductive. It turns out that is a product of a Hermitian symmetric space and a compact torus embedding satisfying some additional conditions. In the smooth case these torus embeddings are classified using...
Correction to "C*-actions".