Darstellbarkeitskriterien für analytische Funktoren
Das formale Prinzip und Modifikationen komplexer Räume.
Das K (..., 1)-Problem für die affinen Wurzelsysteme vom Typ An, Cn.
Décomposition cellulaire de variétés paramétrant des idéaux homogènes de . Incidence des cellules I
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.
Defects of Cusp Singularities.
Defects of cusp singularities and the classification of Hilbert modular threefolds.
Deformation of Complete Intersections with Singularities.
Deformation von Gorenstein-Singularitäten der Kodimension 3.
Déformations équivariantes des courbes semistables
Nous étudions la théorie des déformations des revêtements galoisiens sauvagement ramifiés entre courbes stables. On examine d’abord les problèmes locaux, point double formel avec pour groupe d’inertie un -groupe, puis le cas global. On compare enfin les obstructions globales au relèvement aux obstructions locales.
Deformations of cones over hyperelliptic curves.
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 Normal Surface Singularities with C* Action.
Deformations of Quasi-Homogeneous Surface Singularities.
Deformations of theta divisors and the rank 4 quadrics problem
Deforming syzygies of liftable modules and generalised Knörrer functors
Maps between deformation functors of modules are given which generalise the maps induced by the Knörrer functors. These maps become isomorphisms after introducing certain equations in the target functor restricting the Zariski tangent space. Explicit examples are given on how the isomorphisms extend results about deformation theory and classification of MCM modules to higher dimensions.
Degenerations of moduli of stable bundles over algebraic curves
Derivations of Negative Weight and Non-Smoothability of Certain Singularities.
Determination of the poles of the topological zeta function for curves.