On the distribution of the zeros of some polynomial maps (P,Q,R) : R3 → R3

Abstract

Consider a map (P,Q,R): R3 → R3 of degree (l,n,m) with l ≤ m ≤ n, 1 ≤ l, m, n ≤ 2 and we assume that it has lmn different real zeros. We study the distribution of these lmn zeros in the space R3 for the degrees (l, m, n) = (1, 1, 2), (l, m, n) = (1, 2, 2) or (l, m, n) = (2, 2, 2)