Double point resolutions of deformations of rational singularities
Dualität in der lokalen Kohomologie isolierter Singularitäten.
Ein neuer Zusammenhang zwischen einfachen Gruppen und einfachen Singularitäten.
Eindimensionale fast-vollständige Durchschnitte sind nicht starr.
Elliptic Deformations of Minimally Elliptic Singularities.
Equisingular deformations below the Newton boundary
Equisingular deformations of isolated 2-dimensional hyper-surface singularities.
Families of Curves on Surfaces.
Flache T1-Stabilität in der Stratifizierung Verseller Entfaltungen.
Generic finite schemes and Hochschild cocycles.
Infinitesimal Deformations of Cusp Singularities.
Kodaira singularities and an extension of Arnold's strange duality
Les singularités simples elliptiques, leurs déformations, les surfaces de del Pezzo et les transformations quadratiques
Loop groups, elliptic singularities and principal bundles over elliptic curves
There is a well known relation between simple algebraic groups and simple singularities, cf. [5], [28]. The simple singularities appear as the generic singularity in codimension two of the unipotent variety of simple algebraic groups. Furthermore, the semi-universal deformation and the simultaneous resolution of the singularity can be constructed in terms of the algebraic group. The aim of these notes is to extend this kind of relation to loop groups and simple elliptic singularities. It is the...
Milnor algebras versus modular germs for unimodal hypersurface singularities.
Monodromy zeta-functions of deformations and Newton diagrams.
Nodal deformations of singularities.
In this note we study deformations of a plane curve singularity (C,P) toδ(C,P) nodes. We see that for some types of singularities the method of A'Campo can be carried on using parametric equations. For such singularities we prove that deformations to δ nodes can be made within the space of curves of the same degree.
Noncommutative del Pezzo surfaces and Calabi-Yau algebras
The hypersurface in with an isolated quasi-homogeneous elliptic singularity of type , has a natural Poisson structure. We show that the family of del Pezzo surfaces of the corresponding type provides a semiuniversal Poisson deformation of that Poisson structure. We also construct a deformation-quantization of the coordinate ring of such a del Pezzo surface. To this end, we first deform the polynomial algebra to a noncommutative algebra with generators and the following 3 relations labelled...
Nonflat deformations of modules and isolated singularities.
Non-smoothable varieties.