The asymptotic behaviour of the number of solutions of polynomial congruences.
The Birational Geometry of Surfaces with Rational Double Points.
The last coefficient of the Samuel polynomial
The last coefficient of the Samuel polynomial
The Maximal Number of Quotient Singularities on Surfaces with Given Numerical Invariants.
The Milnor Number and Deformations of Complex Curve Singularities.
The minimal freee resolution of the homogeneous ideal of s general points in P4.
The monodromy conjecture for zeta functions associated to ideals in dimension two
The monodromy conjecture states that every pole of the topological (or related) zeta function induces an eigenvalue of monodromy. This conjecture has already been studied a lot. However in full generality it is proven only for zeta functions associated to polynomials in two variables.In this article we work with zeta functions associated to an ideal. First we work in arbitrary dimension and obtain a formula (like the one of A’Campo) to compute the “Verdier monodromy” eigenvalues associated to an...
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 Signature of Milnor Fibres and Duality Theorem for Strongly Pseudoconvex Manifolds.
The use of Schubert polynomials in SYMCHAR.
Théorème de Riemann-Roch par désingularisation
Théorèmes de finitude en géométrie analytique
Théorie différentielle du contact maximal en inégale caractéristique
Threefolds and deformations of surface singularities.
Topological equisingularity for isolated complete intersection singularities
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...
Toric embedded resolutions of quasi-ordinary hypersurface singularities
We build two embedded resolution procedures of a quasi-ordinary singularity of complex analytic hypersurface, by using toric morphisms which depend only on the characteristic monomials associated to a quasi-ordinary projection of the singularity. This result answers an open problem of Lipman in Equisingularity and simultaneous resolution of singularities, Resolution of Singularities, Progress in Mathematics No. 181, 2000, 485- 503. In the first procedure the singularity is...