2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65712We classify the irreducible components of the varieties V(n,a,b) of pairs (A,B) of matrices of size n such that AB = BA = 0 and A^a = B^b = 0.30 pages. This is an improved version of the originally submitted preprintRepresentation TheoryAlgebraic Geometry14M99; 16G10text