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On the Milnor Fiber of a Quasi-ordinary Surface Singularity |
Canad. J. Math. 54(2002), 55-70
Published:2002-02-01
Printed: Feb 2002
Printed: Feb 2002
- Chunsheng Ban
- Lee J. McEwan
- András Némethi
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 - 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] |