Morphisme cellulaire et classes de Chern bivariantes
Multidimensional residues and ideal membership.
Let I(f) be a zero-dimensional ideal in C[z1, ..., zn] defined by a mapping f. We compute the logarithmic residue of a polynomial g with respect to f. We adapt an idea introduced by Aizenberg to reduce the computation to a special case by means of a limiting process.We then consider the total sum of local residues of g w.r.t. f. If the zeroes of f are simple, this sum can be computed from a finite number of logarithmic residues. In the general case, you have to perturb the mapping f. Some applications...
Nash functions on noncompact Nash manifolds
Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields.
Nielsen's theorem and the super-Teichmüller space
Noethérianité de certaines algèbres de fonctions analytiques et applications
Let be a real-analytic submanifold and H(M) the algebra of real analytic functions on M. If K ⊂ M is a compact subset we consider ; is a multiplicative subset of . Let be the localization of H(M) with respect to . In this paper we prove, first, that is a regular ring (hence noetherian) and use this result in two situations: 1) For each open subset , we denote by O(Ω) the subalgebra of H(Ω) defined as follows: f ∈ O(Ω) if and only if for all x ∈ Ω, the germ of f at x, , is algebraic...
Non-analytic Hypersurfaces in Cn.
Normalization of Differential Equations Defining a CR Structure.
Note on pull-back and Lelong number of currents
O Serre-Duality for coherent sheaves on rigid-analytic spaces.
Oka' s inequality for currents and applications.
On 2-Dimensional Cousin I-Spaces.
On a class of tangential Cauchy-Riemann maps
On a construction of the normal Cartan connections for CR-structures
On a Generalization of the Hopf Fibration, III. (Subvarieties in the C-Spaces).
On a partial complex structure
On a Problem Concerning the Intrinsic Characterization of Cn.
On Algebraicity of Global Real Analytic Sets and Functions
On Analytic Abelian Coverings.
On analytic sets and functions with given isolated singularities.