Differential Invariance of Multiplicity of Analytic Varieties.
Discriminant d’un germe et quotients de contact dans la résolution de
Distribution of critical values of miniversal deformations of parabolic singularities.
Du Bois invariants of isolated complete intersection singularities
We define Du Bois invariants for isolated singularities of complex spaces. We relate them to the Hodge numbers of the local and vanishing cohomology groups. Our main results express the Tjurina number of certain Gorenstein singularities in terms of Du Bois invariants and Hodge numbers of the link, and express the Hodge numbers of the Milnor fibre of certain three-dimensional complete intersections in similar terms. We also address the question of the semicontinuity of the Du Bois invariants under...
Dualität in der lokalen Kohomologie isolierter Singularitäten.
Ein Beitrag zur Lipschitz-Saturation im unendlichdimensionalen Fall
Einfache holomorphe Funktionen.
Einige Beispiele nichtalgebraischer Singularitäten.
Endliche Automorphismengruppen analytischer C-Algebren und ihre Invarianten.
Équisingularité générique des familles de surfaces à singularité isolée
Equivalences between isolated hypersurface singularities.
Erratum to the paper : “Déformations à nombre de Milnor constant: quelques résultats sur les polynômes de Bernstein”
Espaces conormaux relatifs. I. Conditions de transversalité
Estimation of Lojasiewicz Exponents and Newton Polygons.
Étude du comportement du polynôme de Bernstein lors d’une déformation à constant de avec
Explicit bounds for the Łojasiewicz exponent in the gradient inequality for polynomials
Let f: ℝⁿ → ℝ be a polynomial function of degree d with f(0) = 0 and ∇f(0) = 0. Łojasiewicz’s gradient inequality states that there exist C > 0 and ϱ ∈ (0,1) such that in a neighbourhood of the origin. We prove that the smallest such exponent ϱ is not greater than with .
Exponents and Newton Polyhedra of Isolated Hypersurface Singularities.
Forme hermitienne canonique sur la cohomologie de la fibre de Milnor d'une hypersurface à singularité isolée.
Formules intégrales pour certains invariants locaux des espaces analytiques complexes.
Front d'onde et propagation des singularités pour un vecteur-distribution
We define the wave front set of a distribution vector of a unitary representation in terms of pseudo-differential-like operators [M2] for any real Lie group G. This refines the notion of wave front set of a representation introduced by R. Howe [Hw]. We give as an application a necessary condition so that a distribution vector remains a distribution vector for the restriction of the representation to a closed subgroup H, and we give a propagation of singularities theorem for distribution vectors.