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.
The torsion problem of H.-J. Reiffen and U. Vetter
Théorème de Riemann-Roch par désingularisation
Théorèmes de préparation Gevrey et étude de certaines applications formelles
We consider subrings A of the ring of formal power series. They are defined by growth conditions on coefficients such as, for instance, Gevrey conditions. We prove preparation theorems of Malgrange type in these rings. As a consequence we study maps F from to without constant term such that the rank of the Jacobian matrix of F is equal to 1. Let be a formal power series. If F is a holomorphic map, the following result is well known: ∘ F is analytic implies there exists a convergent power series...
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.
Threefolds and deformations of surface singularities.
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)...
Torelli theorems for singularieties (Erratum).
Torelli theorems for singularities.