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# Isolated Hypersurface Singularities and Special Polynomial Realizations of Affine Quadrics

@inproceedings{Fels2011IsolatedHS, title={Isolated Hypersurface Singularities and Special Polynomial Realizations of Affine Quadrics}, author={Gregor Fels and Alexander Isaev and W. Kaup and N. Kruzhilin}, year={2011} }

- Published 2011

Let V , Ṽ be hypersurface germs in Cm, each having a quasi-homogeneous isolated singularity at the origin. We show that the biholomorphic equivalence problem for V , Ṽ reduces to the linear equivalence problem for certain polynomials P , P̃ arising from the moduli algebras of V , Ṽ . The polynomials P , P̃ are completely determined by their quadratic and cubic terms, hence the biholomorphic equivalence problem for V , Ṽ in fact reduces to the linear equivalence problem for pairs of quadratic… CONTINUE READING