Factoriality of a ring of holomorphic functions
Factorization of functions in weighted Bergman spaces
Factorization of rank two theta functions. II. Proof of the Verlinde formula.
Factorization of semisimple discrete representations of Kähler groups.
Factorization of uniformly holomorphic functions
Let E be a complex Hausdorff locally convex space such that the strong dual E’ of E is sequentially complete, let F be a closed linear subspace of E and let U be a uniformly open subset of E. We denote by Π: E → E/F the canonical quotient mapping. In §1 we study the factorization of uniformly holomorphic functions through π. In §2 we study F-quotients of uniform type and introduce the concept of envelope of uF-holomorphy of a connected uniformly open subset U of E. The main result states that the...
Faisceaux analytiques semi-cohérents
Nous définissons deux notions nouvelles en géométrie analytique réelle, celle de fonction Nash-analytique et celle de faisceau semi-cohérent. Avec ces notions, nous obtenons des théorèmes de cohérence analogues à ceux du cas complexe (théorème de cohérence d’Oka, théorème de l’image directe, cohérence d’un ensemble analytique complexe).
Faisceaux constructibles quasi-unipotents
Faisceaux pervers dont le support singulier est une courbe plane
Familias compactas de funciones holomorfas con desarrollo asintótico en abierto de Cn.
Let U be an open convex subset of Cn, n belonging to N, such that the set of all polinomies is dense in the space of all holomorphic and complex functions on U, (H(U), t0), where t0 is the open-compact topology.We endow the space HK(U) of all holomorphic functions on U that have asymptotic expansion at the origin with a metric and we study a particular compact subset of HK(U).
Familien komplexer Räume mit streng pseudokonvexer spezieller Faser
Families of analytic discs in with boundaries on a prescribed submanifold
Families of Curves on Surfaces.
Families of Curves with Nodes on K-3 Surfaces.
Families of differential forms on complex spaces
On every reduced complex space we construct a family of complexes of soft sheaves ; each of them is a resolution of the constant sheaf and induces the ordinary De Rham complex of differential forms on a dense open analytic subset of . The construction is functorial (in a suitable sense). Moreover each of the above complexes can fully describe the mixed Hodge structure of Deligne on a compact algebraic variety.
Families of Mumford curves
Families of polynomials with total Milnor number constant.
Families of smooth curves on surface singularities and wedges
Following the study of the arc structure of singularities, initiated by J. Nash, we give criteria for the existence of smooth curves on a surface singularity (S,O) and of smooth branches of its generic hypersurface section. The main applications are the following: the existence of a natural partition of the set of smooth curves on (S,O) into families, a description of each of them by means of chains of infinitely near points and their associated maximal cycle and the existence of smooth curves on...
Families of varieties with prescribed singularities
Familles de courbes sur les germes d'espaces analytiques
Fano hypersurfaces in weighted projective 4-spaces.