Reflexive modules on minimally elliptic singularities.
Residues of singular holomorphic foliations
Résolution simultanée : I - Familles de courbes
Résolution simultanée : II - Résolution simultanée et cycles évanescents
Semianalytic and subanalytic sets
Simultaneous resolution of rational singularities
Singularités quotients non abéliennes de dimension 3 et variétés de Calabi-Yau.
Singularities on complete algebraic varieties
We prove that any finite set of n-dimensional isolated algebraic singularities can be afforded on a simply connected projective variety.
Some Algebraicity Criteria for Singular Surfaces.
Structure theorems for modifications of complex spaces
Sur la condition de Thom stricte pour un morphisme analytique complexe
Sur le comportement des polaires associées aux germes de courbes planes
Sur quelques aspects de la géométrie de l'espace des arcs tracés sur un espace analytique
Taut Two-Dimensional Singularities.
The dynamics of holomorphic maps near curves of fixed points
Let be a two-dimensional complex manifold and a holomorphic map. Let be a curve made of fixed points of , i.e. . We study the dynamics near in case acts as the identity on the normal bundle of the regular part of . Besides results of local nature, we prove that if is a globally and locally irreducible compact curve such that then there exists a point and a holomorphic -invariant curve with on the boundary which is attracted by under the action of . These results are achieved...
The Hilbert modular group, resolution of the singularities at the cusps and related problems
The Milnor Number and Deformations of Complex Curve Singularities.
The Seiberg–Witten invariants of negative definite plumbed 3-manifolds
Assume that is a connected negative definite plumbing graph, and that the associated plumbed 3-manifold is a rational homology sphere. We provide two new combinatorial formulae for the Seiberg–Witten invariant of . The first one is the constant term of a ‘multivariable Hilbert polynomial’, it reflects in a conceptual way the structure of the graph , and emphasizes the subtle parallelism between these topological invariants and the analytic invariants of normal surface singularities. The second...
The Signature of Smoothings of Complex Surface Singularities.
Théorèmes de finitude en géométrie analytique