10 citations · 16 across the 7 of their papers we have counts for
6 papers · 1 filter
Explicit reconstruction of homogeneous isolated hypersurface singularities from their Milnor algebras
A. V. Isaev, N. G. Kruzhilin
By the Mather-Yau theorem, a complex hypersurface germ with isolated singularity is completely determined by its moduli algebra . The proof of the theorem does not provid…
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 …
Proper actions of Lie groups of dimension on -dimensional complex manifolds
A. V. Isaev, N. G. Kruzhilin
In this paper we continue to study actions of high-dimensional Lie groups on complex manifolds. We give a complete explicit description of all pairs , where is a connect…
Proper holomorphic maps between Reinhardt domains in
A. V. Isaev, N. G. Kruzhilin
We characterize pairs of bounded Reinhardt domains in $\CC^2$ between which there exists a proper holomorphic map and find all proper maps that are not elementary algebraic.
Effective actions of SU_n on complex n-dimensional manifolds
A. V. Isaev, N. G. Kruzhilin
For we classify all connected n-dimensional complex manifolds admitting effective actions of the special unitary group SU_n by biholomorphic transformations.
Effective actions of the unitary group on complex manifolds
A. V. Isaev, N. G. Kruzhilin
We classify all connected -dimensional complex manifolds admitting an effective action of the unitary group by biholomorphic transformations. One consequence of this class…