Fibrés stables et métriques d'Hermite-Einstein
Fibrés uniformes de rang élevé sur
Un fibré vectoriel holomorphe sur est dit uniforme si ses images réciproques sous tous les plongements linéaires sont isomorphes. Nous classons les fibrés uniformes de rang 4 sur .
Fibrés uniformes de type (0, . . . , 0, - 1, . . ., -1) sur P2.
Fibrés vectoriels et cycles d'ordre fini sur une variété algébrique non compacte
Fibrés vectoriels holomorphes homogènes et J-représentations
Fields of CR meromorphic functions
Fields with analytic structure
Filtrable bundles of rank 2 on Hopf surfaces.
Filtration de Harder-Narasimhan pour des fibrés complexes ou des faisceaux sans torsion
On généralise dans cet article la notion de filtration de Harder-Narasimhan au cas des fibrés complexes sur une variété presque complexe compacte d'une part, et au cas des faisceaux cohérents sans torsion sur une variété holomorphe d'autre part. On démontre, dans les deux cas, l'existence d'un déstabilisant maximal. On obtient un théorème de convergence en famille et par là-même l'ouverture de la stabilité en déformation.
Filtration par le poids et monodromie entière
Filtrations of meromorphic C* actions on complex manifolds.
Finite Covers and Modules of Functions.
Finite Determinacy and Topological Triviality I.
Finite determinacy of dicritical singularities in
For germs of singularities of holomorphic foliations in which are regular after one blowing-up we show that there exists a functional analytic invariant (the transverse structure to the exceptional divisor) and a finite number of numerical parameters that allow us to decide whether two such singularities are analytically equivalent. As a result we prove a formal-analytic rigidity theorem for this kind of singularities.
Finite morphisms between differentiable algebras.
Finite parts of the spectrum of a Riemann surface.
Finite rank commutators of Toeplitz operators on the bidisk
We study some algebraic properties of commutators of Toeplitz operators on the Hardy space of the bidisk. First, for two symbols where one is arbitrary and the other is (co-)analytic with respect to one fixed variable, we show that there is no nontrivial finite rank commutator. Also, for two symbols with separated variables, we prove that there is no nontrivial finite rank commutator or compact commutator in certain cases.
Finitely generated ideals in
The Gleason problem is solved on real analytic pseudoconvex domains in . In this case the weakly pseudoconvex points can be a two-dimensional subset of the boundary. To reduce the Gleason problem to a question it is shown that the set of Kohn-Nirenberg points is at most one-dimensional. In fact, except for a one-dimensional subset, the weakly pseudoconvex boundary points are -points as studied by Range and therefore allow local sup-norm estimates for .
Finiteness and separation theorems for Dolbeault cohomologies with support conditions
Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity
This paper deals with the finiteness problem of meromorphic funtions on an annulus sharing four values regardless of multiplicity. We prove that if three admissible meromorphic functions , , on an annulus share four distinct values regardless of multiplicity and have the complete identity set of positive counting function, then or or . This result deduces that there are at most two admissible meromorphic functions on an annulus sharing a value with multiplicity truncated to level and...