2002/04/01 by T. Cooper, Thomas M. Cooper, David Mond +2
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models
paper · pdf · doi:10.1023/a:1014930205374
We construct all \cal A e -codimension 1 multi-germs of analytic (or smooth) maps ( k n , T ) → ( k p , 0), with n [ges ] 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 [les ] 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 [ges ] p ).