A remark on a deformation theory of Green and Lazarsfeld.
Déformations des feuilletages transversalement holomorphes à type différentiable fixé.
Let F be a transversely holomorphic foliation on a compact manifold. We show the existence of a versal space for those deformations of F which keep fixed its differentiable type if F is Hermitian or if F has complex codimension one and admits a transverse projectable connection. We also prove the existence of a versal space of deformations for the complex structures on a Lie group invariant by a cocompact subgroup.
Geometric and categorical nonabelian duality in complex geometry
The Leitmotiv of this work is to find suitable notions of dual varieties in a general sense. We develop the basic elements of a duality theory for varieties and complex spaces, by adopting a geometric and a categorical point of view. One main feature is to prove a biduality property for each notion which is achieved in most cases.
On joint moduli spaces.
Stable pairs, linear systems and the Verlinde formula.
Über den trivialen Ort von Deformationen komplexer Strukturen.
Unfoldings of holomorphic foliations.
The objective of this paper is to give a criterium for an unfolding of a holomorphic foliation with singularities to be holomorphically trivial.