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On the Milnor Fiber of a Quasi-ordinary Surface Singularity

  Published:2002-02-01
 Printed: Feb 2002
  • Chunsheng Ban
  • Lee J. McEwan
  • András Némethi
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Abstract

We verify a generalization of (3.3) from \cite{Le} proving that the homotopy type of the Milnor fiber of a reduced hypersurface singularity depends only on the embedded topological type of the singularity. In particular, using \cite{Za,Li1,Oh1,Gau} for irreducible quasi-ordinary germs, it depends only on the normalized distinguished pairs of the singularity. The main result of the paper provides an explicit formula for the Euler-characteristic of the Milnor fiber in the surface case.
MSC Classifications: 14B05, 14E15, 32S55 show english descriptions Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx]
Global theory and resolution of singularities [See also 14B05, 32S20, 32S45]
Milnor fibration; relations with knot theory [See also 57M25, 57Q45]
14B05 - Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx]
14E15 - Global theory and resolution of singularities [See also 14B05, 32S20, 32S45]
32S55 - Milnor fibration; relations with knot theory [See also 57M25, 57Q45]
 

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