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Déformations des feuilletages transversalement holomorphes à type différentiable fixé.

A. El Kacimi Alaoui, Marcel Nicolau (1989)

Publicacions Matemàtiques

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

Siegmund Kosarew (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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.

Unfoldings of holomorphic foliations.

Xavier Gómez-Mont (1989)

Publicacions Matemàtiques

The objective of this paper is to give a criterium for an unfolding of a holomorphic foliation with singularities to be holomorphically trivial.

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