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

 

Auréole of a quasi-ordinary singularity


Author: Chunsheng Ban
Journal: Proc. Amer. Math. Soc. 120 (1994), 393-404
MSC: Primary 32S25; Secondary 32S50
MathSciNet review: 1186128
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Abstract: The auréole of an analytic germ $ (X,x) \subset ({\mathbb{C}^n},0)$ is a finite family of subcones of the reduced tangent cone $ \vert{C_{X,x}}\vert$ such that the set $ {D_{X,x}}$ of the limits of tangent hyperplanes to $ X$ at $ x$ is equal to $ \cup {(\operatorname{Proj} \,{C_\alpha })^ \vee }$. The auréole for a case of quasi-ordinary singularity is computed.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1186128-7
PII: S 0002-9939(1994)1186128-7
Keywords: Quasi-ordinary singularity, auréole
Article copyright: © Copyright 1994 American Mathematical Society