  In this short note we would like to show how it is possible to use techniques
introduced in the theory of local dynamics of holomorphic germs tangent to the
identity to study global meromorphic self-maps of the complex projective space.
In particular we shall show how a meromorphic self-map of a complex projective
space induces a holomorphic foliation of the projective space in Riemann
surfaces, whose singular points are exactly the fixed points and the
indeterminacy points of the map; and we shall prove three index theorems,
relating suitably defined local residues at the fixed and indeterminacy points
with Chern classes of the projective space.
