abstract: Let F be a germ of tangent to the identity dicritic diffeomorphism at (\C2,0), that has 0 as an isolated fixed point, there for every non degenerate characteristic direction v, there exists a 1 dimensional C\inty varietiy S\subset \C2\setminus 0, invariant by the F-action, and tangent to v at 0\in \overline S. In addition, the dynamic of F restricted to each variety is a flower dynamic.
brochero.pdf