14 citations · 30 across the 11 of their papers we have counts for
11 papers
Nilpotent algebras and affinely homogeneous surfaces
Gregor Fels, Wilhelm Kaup
The paper is devoted to the investigation of finite dimensional commutative nilpotent (associative) algebras N over an arbitrary base field of characteristic zero. Due to the lack…
Isolated hypersurface singularities and polynomial realizations of affine quadrics
G. Fels, A. Isaev, W. Kaup +1
Let , be hypersurface germs in $\CC^m$, each having a quasi-homogeneous isolated singularity at the origin. We show that the biholomorphic equivalence problem for …
CR-quadrics with a symmetry property
Wilhelm Kaup
Motivated by the Shilov boundaries of bounded symmetric domains we consider arbitrary CR-quadrics in a complex linear space (of finite dimension) that have a certain symmetry prope…
Regularization of Local CR-Automorphisms of Real-Analytic CR-Manifolds
A. Isaev., W. Kaup
Let M be a connected generic real-analytic CR-submanifold of a finite-dimensional complex vector space E. Suppose that for every point a in M the Lie algebra hol(M,a) of germs of a…
Classification of commutative algebras and tube realizations of hyperquadrics
G. Fels, W. Kaup
In this paper we classify up to affine equivalence all local tube realizations of real hyperquadrics in C^n. We show that this problem can be reduced to the classification, up to i…
Local tube realizations of CR-manifolds and maximal abelian subalgebras
Gregor Fels, Wilhelm Kaup
For every CR-manifold germ (M,a) local tube realizations are characterized by certain abelian subalgebras of the real Lie algebra hol(M,a) of all germs of (real-analytic) infinites…