Infinite structure and exact model matching problem: A geometric approach

We first generalize to (
A, B, C, D
) quadruples the geometric characterization of the infinite zero structure. We then give a new geometric proof for a solvability condition of the exact model matching problem expressed in terms of this concept and previously established, in the polynomial context, by Morse, Verghese, and Pernebo. This emphasizes the approach-independent character of the infinite zero structure.