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Lieu discriminant d'un germe analytique de corang 1 de ${\Bbb C}^2_{,0}$ vers ${\Bbb C}^2_{,0}$

Lieu discriminant d'un germe analytique de corang 1 de ${\Bbb C}^2_{,0}$ vers ${\Bbb C}^2_{,0}$

We are dealing with germs of analytic applications form C ,0 2 to C ,0 2 , of corang 1, finite with an irreducible critical locus. “Of corang 1” means that it can be written after a good choice of local coordinates in the form: (x,u)↦(x,P(x,u)) or P u (0,0)=0. …