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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A Whitney stratification and equisingular family of quasi-ordinary singularities


Author: Chunsheng Ban
Journal: Proc. Amer. Math. Soc. 117 (1993), 305-311
MSC: Primary 32S60; Secondary 32S05, 32S15, 32S50
MathSciNet review: 1107918
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Abstract: Let $ (V,0) \subset ({{\mathbf{C}}^{d + 1}},0)$ be a quasi-ordinary singularity and $ \pi :(V,0) \to ({{\mathbf{C}}^d},0)$ a quasi-ordinary projection. $ {{\mathbf{C}}^d}$ has a natural Whitney stratification given by the multiplicities of the discriminant locus of $ \pi $. It is proved that the pullback of this stratification gives a Whitney stratification of $ (V,0)$. Then using this result, an equisingular family of quasi-ordinary singularities is studied.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1107918-1
PII: S 0002-9939(1993)1107918-1
Keywords: Quasi-ordinary singularity, discriminant locus, characteristic monomial, equisingularity
Article copyright: © Copyright 1993 American Mathematical Society