25 citations · 50 across the 16 of their papers we have counts for
17 papers
Associated forms of binary quartics and ternary cubics
J. Alper, A. V. Isaev, N. G. Kruzhilin
Let be the vector space of forms of degree on , with . The object of our study is the map , introduced in papers [EI], [AI1],…
Invariants of Artinian Gorenstein Algebras and Isolated Hypersurface Singularities
M. G. Eastwood, A. V. Isaev
We survey our recently proposed method for constructing biholomorphic invariants of quasihomogeneous isolated hypersurface singularities and, more generally, invariants of graded A…
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…
Extracting Invariants of Isolated Hypersurface Singularities from their Moduli Algebras
M. G. Eastwood, A. V. Isaev
We use classical invariant theory to construct invariants of complex graded Gorenstein algebras of finite vector space dimension. As a consequence, we obtain a way of extracting ce…
On the Number of Affine Equivalence Classes of Spherical Tube Hypersurfaces
A. V. Isaev
We consider Levi non-degenerate tube hypersurfaces in $\CC^{n+1}$ that are -spherical, i.e. locally CR-equivalent to the hyperquadric with Levi form of signature …
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…