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
Théorie différentielle du contact maximal en inégale caractéristique
Thom-Boardman singularities and monoidal transforms
Three-dimensional terminal toric flips
We describe three-dimensional terminal toric flips. We obtain the complete local description of three-dimensional terminal toric flips.
Tie transformations of Dynkin graphs and singularities on quartic surfaces.
Tight closure of parameter ideals.
Topological equisingularity for isolated complete intersection singularities
Topologie comparée d'une courbe polaire et de sa courbe descriminante.
Let f be an analytic function germ at 0 in C2. We compare the topological complexity of the discriminant curve of f to the one of its polar curve.
Topologie d'un polynôme de deux variables complexes au voisinage de l'infini
Nous donnons un système complet d’invariants de la classe de conjugaison topologique de polynômes de en dehors d’un compact suffisamment grand dans les deux sens suivants : en tant que feuilletages (en oubliant les valeurs des fibres) et en tant que fonctions. Ces invariants sont donnés par un arbre pondéré, fléché et coloré, obtenu à partir de la résolution des singularités du polynôme sur la droite à l’infini. Nous donnons un critère de régularité pour les valeurs d’un polynôme et une description...
Topology of arrangements and position of singularities
This work contains an extended version of a course given in Arrangements in Pyrénées. School on hyperplane arrangements and related topics held at Pau (France) in June 2012. In the first part, we recall the computation of the fundamental group of the complement of a line arrangement. In the second part, we deal with characteristic varieties of line arrangements focusing on two aspects: the relationship with the position of the singular points (relative to projective curves of some prescribed degrees)...
Transversality of generic projections and seminormality of the image hypersurfaces