Let I be an m-primary ideal of a Noetherian local ring (R,m) of positive
dimension. The coefficient $e_1(A)$ of the Hilbert polynomial of an
I-admissible filtration A is called the Chern number of A. The Positivity
Conjecture of Vasconcelos for the Chern number of the integral closure
filtration ${\bar{I^n}}$ is proved for a