A character approach to Looijenga's invariant theory for generalized root systems
A characterization of quasi-homogeneous Gorenstein surface singularities
A note on ...-constant families of plane curves.
A vanishing theorem concerning the Artin component of a rational surface singularity.
Ambient Deformations for Exceptional Sets in Two-Manifolds.
Appendix to : “smoothings of cusp singularities via triangle singularities”
Berichtigung zu "Quasirationale Singularitäten".
Characterizations of certain singularities of a branched covering
Combinatorial aspects of the sequence of Milnor numbers of deformations
We use combinatorics to describe the topology of a singular irreducible plane curve germ f = 0 under small perturbation of parameters.
Conjecture de Bloch et nombres de Milnor
Nous déduisons de la formule du conducteur, conjecturée par S. Bloch, celle de P. Deligne exprimant, dans le cas d'une singularité isolée, la dimension totale des cycles évanescents en fonction du nombre de Milnor. En particulier, la formule de Deligne est établie en dimension relative un; en appendice, on généralise cet énoncé au cas d'un lieu singulier propre.
Constant Milnor Number Implies Constant Multiplicity for Quasihomogeneous Singularities.
Courbes de semi-groupe donné.
Das K (..., 1)-Problem für die affinen Wurzelsysteme vom Typ An, Cn.
Decompositions of hypersurface singularities oftype
Applications of singularity theory give rise to many questions concerning deformations of singularities. Unfortunately, satisfactory answers are known only for simple singularities and partially for unimodal ones. The aim of this paper is to give some insight into decompositions of multi-modal singularities with unimodal leading part. We investigate the singularities which have modality k - 1 but the quasihomogeneous part of their normal form only depends on one modulus.
Deformation von Gorenstein-Singularitäten der Kodimension 3.
Deformations of Fat Points of Boardman Type 2,0.
Deformations of free and linear free divisors
We study deformations of free and linear free divisors. We introduce a complex similar to the de Rham complex whose cohomology calculates the deformation spaces. This cohomology turns out to be zero for all reductive linear free divisors and to be constructible for Koszul free divisors and weighted homogeneous free divisors.
Deformations of Quasi-Homogeneous Surface Singularities.
Derivations of Negative Weight and Non-Smoothability of Certain Singularities.
Die Singularitäten vom Typ D.