Residue currents with prescribed annihilator ideals
Residues and effective Nullstellensatz.
Residues and Principal Values on Complex Spaces.
Residues, currents, and their relation to ideals of holomorphic functions.
Résidus et dualité.
Richtungsuniformisierung bei analytischen Mengen.
Riemann domains over Stein spaces
Riemann-Roch for weakly-equivariant D-modules II.
Riemann-Roch Theorem for Strongly Pseudoconvex Manifolds of Dimension 2.
Rigidity of CR submanifolds and analyticity of CR immersions.
Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly
The structure of the section space of a real analytic vector bundle on a real analytic manifold X is studied. This is used to improve a result of Grothendieck and Poly on the zero spaces of elliptic operators and to extend a result of Domański and the author on the non-existence of bases to the present case.
Segre Families and Real Hypersurfaces.
Semianalytic and subanalytic sets
Separation, factorization and finite sheaves on Nash manifolds
Set Theoretic Complex Equivalence Relations.
Sheaves of Holomorphic Functions on Infinite Dimensional Vector Spaces.
Singular holomorphic functions for which all fibre-integrals are smooth
For a germ (X,0) of normal complex space of dimension n + 1 with an isolated singularity at 0 and a germ f: (X,0) → (ℂ,0) of holomorphic function with df(x) ≤ 0 for x ≤ 0, the fibre-integrals , are on ℂ* and have an asymptotic expansion at 0. Even when f is singular, it may happen that all these fibre-integrals are . We study such maps and build a family of examples where also fibre-integrals for , the Grothendieck sheaf, are .
Singular Levi-flat hypersurfaces and codimension one foliations
We study Levi-flat real analytic hypersurfaces with singularities. We prove that the Levi foliation on the regular part of the hypersurface can be holomorphically extended, in a suitable sense, to neighbourhoods of singular points.
Singular Moment Maps and Quaternionic Geometry
Singularité et intégrabilité des fonctions plurisousharmoniques
On étudie les singularités et l’intégrabilité d’une classe de fonctions plurisousharmoniques sur une variété analytique de dimension . Pour étudier ce problème, nous commençons par contrôler les nombres de Lelong de certains types de fonctions plurisousharmoniques . Ensuite, nous étudions les singularités du transformé strict du courant par un éclatement de au dessus d’un point. Nous répondons ainsi positivement au problème d’intégrabilité locale de , lorsque , et lorsque est une fonction plurisousharmonique...