Algebraic tubular neighbourhoods I.
An algebraic construction of the generic singularities of Boardman-Thom
Computing limit linear series with infinitesimal methods
Alexander and Hirschowitz determined the Hilbert function of a generic union of fat points in a projective space when the number of fat points is much bigger than the greatest multiplicity of the fat points. Their method is based on a lemma which determines the limit of a linear system depending on fat points approaching a divisor.Other Hilbert functions were computed previously by Nagata. In connection with his counter-example to Hilbert’s fourteenth problem, Nagata determined the Hilbert function...
Décomposition cellulaire de variétés paramétrant des idéaux homogènes de . Incidence des cellules I
Ein allgemeines Kriterium für das formale Prinzip.
Extending meromorphic functions on ...m x ...n.
Formal-algebraic and rigid-analytic geometry.
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...
Gaussian Maps and Tensor products of irreducible representations.
Local homology and cohomology on schemes
On the de Rham cohomology of algebraic varieties
Stratifikation von Quotientenmannigfaltigkeiten (in Charakteristik 0) und insbesondere der Modulmannigfaltigkeiten für Kurven.
The concept of (ν)-equivalence in algebraic deformation theory
The Formal Hodge Filtration.
Vektorraumbündel in der Nähe von kompakten komplexen Unterräumen.
Деформации модификаций алгебраических пространств