Auréole of a quasi-ordinary singularity
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- by Chunsheng Ban PDF
- Proc. Amer. Math. Soc. 120 (1994), 393-404 Request permission
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 $|{C_{X,x}}|$ 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.References
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C. Ban, Whitney stratification, equisingular family and the auréole of quasi-ordinary singularity, Ph.D. thesis, Purdue University, 1990.
J. Lipman, Quasi-ordinary singularities of embedded surfaces, Ph.D. thesis, Harvard University, 1965.
- Joseph Lipman, Topological invariants of quasi-ordinary singularities, Mem. Amer. Math. Soc. 74 (1988), no. 388, 1–107. MR 954947, DOI 10.1090/memo/0388
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 393-404
- MSC: Primary 32S25; Secondary 32S50
- DOI: https://doi.org/10.1090/S0002-9939-1994-1186128-7
- MathSciNet review: 1186128