Coverings of Singular curves over Finite Fields.
Coxeter-Dynkin diagrams of the complete intersection singularities Z9 and Z10.
Curves in P2(C) with 1-dimensional symmetry.
In a previous paper we showed that the existence of a 1-parameter symmetry group of a hypersurface X in projective space was equivalent to failure of versality of a certain unfolding. Here we study in detail (reduced) plane curves of degree d ≥ 3, excluding the trivial case of cones. We enumerate all possible group actions -these have to be either semisimple or unipotent- for any degree d. A 2-parameter group can only occur if d = 3. Explicit lists of singularities of the corresponding curves are...
Deformation of Lie algebras and Lie algebras of deformations
Deformation von Gorenstein-Singularitäten der Kodimension 3.
Déformations de courbes planes
Déformations équisingulières des germes de courbes gauches réduites
Deformations of theta divisors and the rank 4 quadrics problem
Determination of the poles of the topological zeta function for curves.
Einfache Kurvensingularitäten und torsionsfreie Moduln.
Elliptic Surface Singularities and Smoothings of Curves.
Entrelacs toriques itérés et intégrales associées à une courbe plane
Enumerative geometry of singular plane curves.
Equianalytic and equisingular families of curves on surfaces.
Erratum to “Fundamental groups of some special quadric arrangements”.
Explicit resolution of local singularities of moduli-spaces.
Exposé on a conjecture of Tougeron
An algebra homomorphism of the locatized affine rings of an algebraic variety is continuous in the Krull topology of the respective local rings. It is not necessarily open or closed in the Krull topology. However, we show that the induced map on the associated analytic local rings is also open and closed in the Krull topology. To do this we prove a conjecture of Tougeron which states that if is an analytic curve on an analytic variety and is a formal power series which is convergent when restricted...
Families of Curves on Surfaces.
Families of Curves with Nodes on K-3 Surfaces.
Families of supersingular abelian surfaces