A case in which irreducibility of an analytic germ implies irreducibility of the tangent cone
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- by Richard Draper PDF
- Proc. Amer. Math. Soc. 39 (1973), 443-449 Request permission
Abstract:
There are simple examples in which a variety is irreducible at a point but has a reducible tangent cone. The following theorem is proved. If ${X_p}$ is an irreducible analytic germ and if the Jacobian ideal beomes principal on the normalization then the tangent cone of $X$ at $p$ is irreducible. If, moreover, the singular set of $X$ is a manifold at $p$ then $X$ is Whitney $a,b$-regular along the singular set at $p$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 443-449
- MSC: Primary 32B10; Secondary 32C40
- DOI: https://doi.org/10.1090/S0002-9939-1973-0316744-X
- MathSciNet review: 0316744