Offenheit der Versalität in der analytischen Geoemtrie.
Page 1
Jürgen Bingener (1980)
Mathematische Zeitschrift
Arthur E. Fischer, Anthony J. Tromba (1984)
Mathematische Annalen
Liaw Huang (1995)
Mathematische Annalen
Herbert Popp (1975)
Compositio Mathematica
Georg Schumacher (1985)
Manuscripta mathematica
Scott Wolpert (1983)
Commentarii mathematici Helvetici
Georg Schumacher, Matei Toma (1992)
Mathematische Annalen
Lu, Zhiqin (2002)
Portugaliae Mathematica. Nova Série
Piotr Jaworski (2000)
Annales Polonici Mathematici
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....
Laurent Bruasse (2006)
Annales de l’institut Fourier
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...
Page 1