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Vanishing topology of codimension 1 multi-germs over R and C
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UNSPECIFIED (2002) Vanishing topology of codimension 1 multi-germs over R and C. COMPOSITIO MATHEMATICA, 131 (2). pp. 121-160. ISSN 0010-437X
Full text not available from this repository.Abstract
We construct all A(e)-codimension 1 multi-germs of analytic (or smooth) maps (k(n), T) --> (k(p), 0), with n greater than or equal to p - 1, (n, p) nice dimensions, k = bb C or bb R, by augmentation and concatenation operations, starting from mono-germs (\T\ = 1) and one 0-dimensional bi-germ. As an application, we prove general statements for multi-germs of corank less than or equal to 1: every one has a real form with real perturbation carrying the vanishing homology of the complexification, every one is quasihomogeneous, and when n = p - 1 every one has image Milnor number equal to 1 (this last is already known when n greater than or equal to p).
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | COMPOSITIO MATHEMATICA |
| Publisher: | KLUWER ACADEMIC PUBL |
| ISSN: | 0010-437X |
| Date: | April 2002 |
| Volume: | 131 |
| Number: | 2 |
| Number of Pages: | 40 |
| Page Range: | pp. 121-160 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/11100 |
Data sourced from Thomson Reuters' Web of Knowledge
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