Article contents
[Lscr ]0-equivalence of maps
Published online by Cambridge University Press: 01 May 2000
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
- 4
- Cited by