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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Residual equisingularity


Authors: Joseph Becker and John Stutz
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
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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.


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Keywords: Residual equisingularity, local quadratic transformation, analytic variety, resolution
Article copyright: © Copyright 1976 American Mathematical Society