Residual equisingularity
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- by Joseph Becker and John Stutz PDF
- Proc. Amer. Math. Soc. 56 (1976), 217-220 Request permission
Abstract:
Let $V$ be a complex analytic set and $\operatorname {Sg} V$ the singular set of $V$ be in codimension one; then the set of points of $\operatorname {Sg} V$ for which $V$ is not residually equisingular along $\operatorname {Sg} V$ is a proper analytic subset of $\operatorname {Sg} V$. $V$ is said to be residually equisingular along $\operatorname {Sg} V$ if all one dimensional slices of $V$ transverse to $\operatorname {Sg} V$ have isomorphic resolutions.References
- Joseph Becker and John Stutz, Resolving singularities via local quadratic transformations, Rice Univ. Stud. 59 (1973), no. 1, 1–9. MR 335849
- John Stutz, Analytic sets as branched coverings, Trans. Amer. Math. Soc. 166 (1972), 241–259. MR 324068, DOI 10.1090/S0002-9947-1972-0324068-3
- John Stutz, Equisingularity and equisaturation in codimension $1$, Amer. J. Math. 94 (1972), 1245–1268. MR 333240, DOI 10.2307/2373573
- Klaus G. Fischer, The module decomposition of $I(\bar A/A)$, Trans. Amer. Math. Soc. 186 (1973), 113–128. MR 337947, DOI 10.1090/S0002-9947-1973-0337947-9 O. Zariski, Studies in equisingularity. I, II, III, Amer. J. Math. 87 (1965), 507-536, 972-1006; ibid. 90 (1968), 961-1023. MR 31 #2243; 33 #125; 38 #5775.n
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 56 (1976), 217-220
- MSC: Primary 32C40
- DOI: https://doi.org/10.1090/S0002-9939-1976-0414926-2
- MathSciNet review: 0414926