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.
Sommaire