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[Lscr ]0-equivalence of maps

Published online by Cambridge University Press:  01 May 2000

TERENCE GAFFNEY
TERENCE GAFFNEY
Affiliation:
Department of Mathematics, Northeastern University, Boston MA 02115, U.S.A. e-mail: gaff@neu.edu
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Abstract

We use the theory of the integral closure of an ideal to study the equivalence of map-germs under C0 coordinate changes in the target. We also derive a formula for the number of double points of a map germ from Cn → C2n in terms of the Segre number of dimension 0 of an ideal associated to the double point locus of f, and the number of Whitney umbrellas of the composition of f with a generic projection to C2n−1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 3 , May 2000 , pp. 479 - 496
Copyright
The Cambridge Philosophical Society 2000

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