Generalized Picard lattices arising from half-integral conditions
Geometric invariant theory on Stein spaces.
Geometric structures on the complement of a projective arrangement
Consider a complex projective space with its Fubini-Study metric. We study certain one parameter deformations of this metric on the complement of an arrangement (= finite union of hyperplanes) whose Levi-Civita connection is of Dunkl type. Interesting examples are obtained from the arrangements defined by finite complex reflection groups. We determine a parameter interval for which the metric is locally of Fubini-Study type, flat, or complex-hyperbolic. We find a finite subset of this interval for...
Geometry of biinvariant subsets of complex semisimple Lie groups
Geometry of hypersurfaces and mapping theorems in Cn.
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...
Group actions and envelopes of holomorphy.
Groupes triangulaires lagrangiens en géométrie hyperbolique complexe
Nous présentons quelques résultats au sujet des groupes engendrés par trois involutions antiholomorphes dans le cadre du plan hyperbolique complexe .