Offenheit der Versalität in der analytischen Geoemtrie.
On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.
On joint moduli spaces.
On moduli of algebraic varieties III. Fine moduli spaces
On the Geometry of Moduli Spaces.
On the Kähler form of the moduli space of once punctured tori.
On the Petersson-Weil metric for the moduli space of Hermite-Einstein bundles and its curvature.
On the rigidity of horizontal slices.
On the topological triviality along moduli of deformations of singularities
It is well known that versal deformations of nonsimple singularities depend on moduli. However they can be topologically trivial along some or all of them. The first step in the investigation of this phenomenon is to determine the versal discriminant (unstable locus), which roughly speaking is the obstacle to analytic triviality. The next one is to construct continuous liftable vector fields smooth far from the versal discriminant and to integrate them. In this paper we extend the results of J....
Optimal destabilizing vectors in some Gauge theoretical moduli problems
We prove that the well-known Harder-Narsimhan filtration theory for bundles over a complex curve and the theory of optimal destabilizing -parameter subgroups are the same thing when considered in the gauge theoretical framework.Indeed, the classical concepts of the GIT theory are still effective in this context and the Harder-Narasimhan filtration can be viewed as a limit object for the action of the gauge group, in the direction of an optimal destabilizing vector. This vector appears as an extremal...