B. Wirtz


Titre: "Fixed points of one parameter-family of pseudo-groups of $Diff_{0,\Bbb C}$"


Abstract: The holomorphic deformation of a non solvable or generic non commutative pseudo-group of $Diff_{0, {\bf C}}$ has locally or sectorially locally dense action in $(0, {\bf C})$. Moreover the perturbation moves smoothly a special class of hyperbolic fixed points arbitrarly close to $0$. Such fixed points are solution of a differential equation with respect to the parameter. Moreover the derivative of the fixed point with respect to the parameter is at most equivalent to some power of the modulus of the fixed point.










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