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}
}
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

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Springer

  • Greuel, G.-M., +4 authors Springer Monographs in Mathematics
  • Berlin,
  • 2007

151

  • C. Hertling, Frobenius Manifolds, Moduli Spaces for Singularities, Cambridge Tracts in Mathematics
  • Cambridge University Press, Cambridge,
  • 2002
1 Excerpt

Generic Torelli for semiquasihomogeneous singularities, in Trends in Singularities

  • C. Hertling
  • Trends Math., Birkhäuser, Basel,
  • 2002

Algebraic determination of isomorphism classes of the moduli algebras of Ẽ 6 singularities

  • H. Chen, C. Seeley, S. S.-T. Yau
  • Math . Ann .
  • 2000

Algebraic determination of isomorphism classes of the moduli algebras of Ẽ6

  • H. Chen, C. Seeley, Yau, S.S.-T
  • singularities, Math. Ann
  • 2000

On affine normal forms and a classification of homogeneous surfaces in affine three-space

  • M. G. EE Eastwood, V. V. Ezhov
  • Geom. Dedicata
  • 1999

A matrix Poincaré formula for holomorphic automorphisms of quadrics of higher codimension

  • V. ES Ezhov, G. Schmalz
  • Real associative quadrics, J. Geom. Anal
  • 1998

A matrix Poincaré formula for holomorphic automorphisms of quadrics of higher codimension . Real associative quadrics

  • G. Schmalz
  • J . Geom . Anal .
  • 1998

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