  We report on recent advances in the study of critical points of the ``black
hole effective potential'' V_{BH} (usually named \textit{attractors}) of N=2,
d=4 supergravity coupled to n_{V} Abelian vector multiplets, in an
asymptotically flat extremal black hole background described by 2n_{V}+2 dyonic
charges and (complex) scalar fields which are coordinates of an
n_{V}-dimensional Special Kahler manifold.
