Weighted homogeneous map germs of corank one from C³ to C³ and polar multiplicities

• Jorge Pérez, Víctor H. ^[1]
  1. [1] Universidade Estadual de Maringá

     Universidade Estadual de Maringá

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 21, Nº. 3, 2002, págs. 245-259
• Idioma: inglés
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• Resumen

  • For quasi-homogeneous and finitely determined corank one map germs f : (C³,0)→(C³,0) we obtain formulae in function of the degree and weight of f for invariantes on the stable types of f, as polar multiplicities, number of Milnor, number of Lê. We minimize also the number of invariantes for 7, to resolve the problem that decides the Whitney equisingularity of families of such maps germs. To finalize use these formulae to increase the list of invariants of some normal forms of f.