A note on the proof of a theorem of Katz

Let be polynomials of degree di, 1 i r, where d1 dr 1. Denote the set of zeros of fi in by Z(fi). Katz proved that divides Z(f1)∩ ∩Z(fr). A more elementary proof of this result was given by Wan. We found a new and much simpler proof of this result.