Isolated Hypersurface Singularities and Special Polynomial Realizations of Affine Quadrics
Date
2011
Authors
Fels, G.
Isaev, Alexander
Kaup, W.
Kruzhilin, N.
Journal Title
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Volume Title
Publisher
American Mathematical Society
Abstract
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, V~V~ reduces to the linear equivalence problem for certain polynomials P, P~ arising from the moduli algebras of V, Ṽ. The polynomials P, P~ 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 and cubic forms.
Description
Keywords
Isolated hypersurface singularities, Gorenstein algebras
Citation
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Source
Journal of Geometric Analysis
Type
Journal article
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DOI
10.1007/s12220-011-9223-y