We give a sufficient condition for the existence of periodic points for bir
ational mappings of CP2. Under this assumption, we get a precise estimation
of the number of periodic points with a given period. We give an applicati
on of this result to the study of the dynamics of these mappings, by comput
ing explicitly the self-intersection of their associated natural invariant
current. Our results essentially rely on Bezout's theorem on intersection o
f hypersurfaces in the complex projective space, and on the precise study o
f intersection multiplicities.