14 citations · 30 across the 9 of their papers we have counts for
9 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 …
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…
Classification of Levi degenerate homogeneous CR-manifolds in dimension 5
Gregor Fels, Wilhelm Kaup
In this paper we present new examples of homogeneous 2-nondegenerate CR-manifolds of dimension 5 and give, up to local CR-equivalence, a full classification of all CR-manifolds of…
Locally homogeneous finitely nondegenerate CR-manifolds
Gregor Fels
Germs of locally homogeneous CR manifolds M can be characterized in terms of certain algebraic data, e.g., by CR-algebras. We give an explicit formula which relates the Levi form o…