Factorization of Birational Morphisms with Fiber Dimension Bounded by 1.
Families of Curves on Surfaces.
Families of smooth curves on surface singularities and wedges
Following the study of the arc structure of singularities, initiated by J. Nash, we give criteria for the existence of smooth curves on a surface singularity (S,O) and of smooth branches of its generic hypersurface section. The main applications are the following: the existence of a natural partition of the set of smooth curves on (S,O) into families, a description of each of them by means of chains of infinitely near points and their associated maximal cycle and the existence of smooth curves on...
Families of supersingular abelian surfaces
Fermeture intégrale et changement de base
Fibre de Milnor d'un cône sur une courbe plane singulière.
Fibre de Milnor motivique à l’infini et composition avec un polynôme non dégénéré
Soit un corps de caractéristique nulle, un polynôme de Laurent en variables, à coefficients dans et non dégénéré pour son polyèdre de Newton à l’infini. Soit fonctions non constantes à variables séparées et définies sur des variétés lisses. A la manière de Guibert, Loeser et Merle, dans le cas local, nous calculons dans cet article, la fibre de Milnor motivique à l’infini de la composée en termes du polyèdre de Newton à l’infini de . Pour égal à la somme nous obtenons une formule...
Filtration par le poids et monodromie entière
Finiteness properties of local cohomology modules (an application of D-modules to Commutative Algebra).
Flache T1-Stabilität in der Stratifizierung Verseller Entfaltungen.
Formal deformation of curves with group scheme action
We study equivariant deformations of singular curves with an action of a finite flat group scheme, using a simplified version of Illusie's equivariant cotangent complex. We apply these methods in a special case which is relevant for the study of the stable reduction of three point covers.
Formal-algebraic and rigid-analytic geometry.
Formale Geometrie und homogene Räume.
Forme normale d'une fonction sur une surface de caractéristique positive
Fortsetzungsdefekte zweidimensionaler abelscher Quotienten-Singularitäten.
Fragmented deformations of primitive multiple curves
A primitive multiple curve is a Cohen-Macaulay irreducible projective curve Y that can be locally embedded in a smooth surface, and such that Y red is smooth. We study the deformations of Y to curves with smooth irreducible components, when the number of components is maximal (it is then the multiplicity n of Y). We are particularly interested in deformations to n disjoint smooth irreducible components, which are called fragmented deformations. We describe them completely. We give also a characterization...