Deformations and moduli of Riemann Surfaces with nodes and signatures.
Déformations C*-équivariantes de germes de faisceaux cohérents
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.
Déformations des structures complexes sur les espaces homogènes de SL (2, ...).
Déformations équisingulières des germes de courbes gauches réduites
Déformations équivariantes d'espaces analytiques complexes compacts
Déformations isomonodromiques des singularités régulières
Deformations of a complex mainfold near a strongly pseudo-convex real hypersurface and a realization of Kuranishi family of strongly pseudo-convex CR structures.
Deformations of a strongly pseudo-convex domain of complex dimension ≥ 4
Deformations of coherent foliations on a compact normal space
An universal analytic structure is construted on the set of (singular) holomorphic foliations on a normal compact space. Such a foliation is by definition a coherent subsheaf of the holomorphic tangent sheaf stable by the Lie-bracket
Deformations of Complex Manifolds with Fixed Boundary Structure.
Deformations of CR-structures on a real Lie-algebra
Sia unalgebra di Lie e (p, J) una sua struttura di Cauchy-Riemann, vale a dire J è una struttura complessa integrabile del sottospazio vettoriale p. Come è stato fatto per il caso delle strutture complesse, cfr. [GT], introduciamo il concetto di deformazione di una struttura CR. Per mezzo dei gruppi di coomologia vengono provati risultati di rigidità. In particolare ogni struttura di Lie- CR che è semisemplice è rigida. Alcuni esempi chiariscono le soluzioni particolari esposte.
Deformations of Fat Points of Boardman Type 2,0.
Deformations of holomorphic foliations having a meromorphic first integral.
Deformations of Holomorphic Group Actions.
Deformations of Holomorphic Seifert Fiber Spaces.
Deformations of Kähler manifolds with nonvanishing holomorphic vector fields
We study compact Kähler manifolds admitting nonvanishing holomorphic vector fields, extending the classical birational classification of projective varieties with tangent vector fields to a classification modulo deformation in the Kähler case, and biholomorphic in the projective case. We introduce and analyze a new class of , and show that they form a smooth subspace in the Kuranishi space of deformations of the complex structure of . We extend Calabi’s theorem on the structure of compact Kähler...
Deformations of multiple fibres.
Deformations of Strictly Pseudoconvex Domains.
Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization