N. G. Kruzhilin

activity

20102014

most citedIsolated hypersurface singularities and polynomial realizations of affine quadrics

1 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2014★ 1 cited

Associated forms of binary quartics and ternary cubics

J. Alper, A. V. Isaev, N. G. Kruzhilin

Let $Q_{n}^{d}$ be the vector space of forms of degree $d \geq 3$ on $C^{n}$ , with $n \geq 2$ . The object of our study is the map $Φ$ , introduced in papers [EI], [AI1],…

math.CV2012★ 1 cited

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 $V$ with isolated singularity is completely determined by its moduli algebra $A (V)$ . The proof of the theorem does not provid…

math.CV2010★ 1 cited

Isolated hypersurface singularities and polynomial realizations of affine quadrics

G. Fels, A. Isaev, W. Kaup +1

Let $V$ , $V ~$ be hypersurface germs in $\CC^m$, each having a quasi-homogeneous isolated singularity at the origin. We show that the biholomorphic equivalence problem for $V$ …