EQUIDISTRIBUTION FOR SEQUENCES OF POLYNOMIAL-MAPPINGS

We consider sequences of polynomial mappings P-k :C-n --> P-m with inc reasing degrees d(k) = deg P-k and prove that (i) preimages of most of the complex hyperplanes in P-m are equidistributed with the pullbacks P-komega of the standard invariant (Fubini-Study) form omega on P-m; (ii) if all P-k are non-degenerate: then preimages of most of the poi nts in P-m are equidistributed with P-komega(m) (m less than or equal to n).