Location of Repository

Vanishing topology of codimension 1 multi-germs over $\Bbb R$ and $\Bbb C$

By T. Cooper, D. (David) Mond and R. Wik Atique


We construct all $\cal A$e-codimension 1 multi-germs of analytic (or smooth) maps (kn, T) [rightward arrow] (kp, 0), with n [gt-or-equal, slanted] p − 1, (n, p) nice dimensions, k = $\mathbb C$ or $\mathbb R$, 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-eq, slant] 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 [gt-or-equal, slanted] p)

Topics: QA
Publisher: Cambridge University Press
Year: 2002
OAI identifier: oai:wrap.warwick.ac.uk:792

Suggested articles



  1. (1991). A-codimension and the vanishing topology of discriminants, doi
  2. (1989). A-equivalence and equivalence of sections of images and discriminants, In: Singularity Theory and Applications doi
  3. (1974). Dynkin diagrams for certain singularities of functions of two real variables, doi
  4. (1989). In: Singularity Theory and Applications doi
  5. (1972). Introduction to CompactTransformation Groups,
  6. (1984). Isolated singular points on complete intersections, doi
  7. (1975). Le groupe de monodromie du de ¤ ploiment des singularitie ¤ si s o l e ¤ es de courbes planes I, doi
  8. (1991). Monodromy of the image of a mapping, doi
  9. (1989). Multiple point schemes for corank 1 maps, doi
  10. (1998). On singularities of folding maps and augmentations,
  11. (1999). On the classi¢cation and geometry of corank 1 map-germs from three-space to four-space, In: doi
  12. (1993). Reidemeister moves for surface isotopies and their interpretation as moves to movies, doi
  13. (1984). Singularities of projections of full intersections, doi
  14. Singularities of Smooth Functions and Maps,
  15. (1993). Vanishing cohomology of singularities of mappings,

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.