Vanishing topology of codimension 1 multi-germs over R and C
UNSPECIFIED (2002) Vanishing topology of codimension 1 multi-germs over R and C. COMPOSITIO MATHEMATICA, 131 (2). pp. 121-160. ISSN 0010-437XFull text not available from this repository.
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|
|Number of Pages:||40|
|Page Range:||pp. 121-160|
Actions (login required)