-diffeomorphismen semianalytischer und subanalytischer Mengen
Calcul du nombre de cycles évanouissants d'une hypersurface complexe
Nous donnons une méthode pour calculer le nombre de cycles évanouissants d’une hypersurface complexe n’ayant pas nécessairement des singularités isolées.
Central Orderings in Fields of Real Meromorphic Function Germs.
Characterizing singularities of varieties and of mappings.
Ck and Analytic Equivalence of Complex Analytic Varieties.
Classification of Equidimensional contact unimodular map germs.
Classification of Isolated Hypersurface Singularities by Their Moduli Algebras.
Closure Theorem for Partially Semialgebraic Sets
In 1988 it was proved by the first author that the closure of a partially semialgebraic set is partially semialgebraic. The essential tool used in that proof was the regular separation property. Here we give another proof without using this tool, based on the semianalytic L-cone theorem (Theorem 2), a semianalytic analog of the Cartan-Remmert-Stein lemma with parameters.
Comparaison des formes de Seifert et des fonctions zêta de Denef-Loeser des germes de courbe plane à singularité isolée
Nous démontrons que la donnée de la forme de Seifert entière et de la fonction zêta de Denef-Loeser d’un germe de courbe plane à singularité isolée ne déterminent pas le type topologique de ce germe. De plus, la fonction zêta de Denef-Loeser d’un tel germe ne détermine pas la forme de Seifert entière associée.
Comparing modules of differential operators by their evaluation on polynomials
Complex Analytic and Formal Solutions of Real Analytic Equations in Cn.
Conditions d'adjonction, d'après Du Val
Conic sheaves on subanalytic sites and Laplace transform
Conjugaison topologique des germes de fonctions holomorphesà singularité isolée en dimension trois.
Connected components of global semianalytic subsets of 2-dimensional analytic manifolds.
Constructing blow-analytic isomorphisms
In this paper we construct non-trivial examples of blow-analytic isomorphisms and we obtain, via toric modifications, an inverse function theorem in this category. We also show that any analytic curve in , can be deformed via a rational blow- analytic isomorphism of , to a smooth analytic arc.
Constructions des ensembles déterminants pour les fonctions analytiques
Continuing 1 -dimensional Analytic Sets.
Continuity of intersection of analytic sets
Continuity of the relative extremal function on analytic varieties in ℂⁿ
Let V be an analytic variety in a domain Ω ⊂ ℂⁿ and let K ⊂ ⊂ V be a closed subset. By studying Jensen measures for certain classes of plurisubharmonic functions on V, we prove that the relative extremal function is continuous on V if Ω is hyperconvex and K is regular.