The Fundamental Group of the Complement of an Algebraic Curve.
The Geometry of Representations of Am .
The homology groups of the links of quasi-ordinary singularities.
The infinitesimal M. Noether theorem for singularities
The jump of the Milnor number in the X 9 singularity class
The jump of the Milnor number of an isolated singularity f 0 is the minimal non-zero difference between the Milnor numbers of f 0 and one of its deformations (f s). We prove that for the singularities in the X 9 singularity class their jumps are equal to 2.
The Le varieties, II.
The Łojasiewicz gradient inequality in a neighbourhood of the fibre
Some estimates of the Łojasiewicz gradient exponent at infinity near any fibre of a polynomial in two variables are given. An important point in the proofs is a new Charzyński-Kozłowski-Smale estimate of critical values of a polynomial in one variable.
The Maximal Number of Quotient Singularities on Surfaces with Given Numerical Invariants.
The Milnor Number and Deformations of Complex Curve Singularities.
The monodromy of a series of hypersurface singularities.
The Monodromy of Weighted Homogeneous Singularities
The Nash problem of arcs and the rational double points
This paper deals with the Nash problem, which consists in comparing the number of families of arcs on a singular germ of surface with the number of essential components of the exceptional divisor in the minimal resolution of this singularity. We prove their equality in the case of the rational double points ().
The Picard group of the canonical resolution of a 3-dimensional simple singularity
The Semigroup of a Singular Point of a Curve with Two Equisingular Branches.
The semigroup of values of acurve singularity with several branches.
The set of toric minimal log discrepancies
We describe the set of minimal log discrepancies of toric log varieties, and study its accumulation points.
The Singular Points on the Moduli Spaces for Smooth Curves.
The Smoothing Components of a Triangle Singularity. II.
The Toda lattice, Dynkin diagrams, singularities and Abelian varieties.
Théorème de Riemann-Roch par désingularisation