2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72990We describe the space of projective planes of complex skew-symmetric matrices of order six and constant rank four. We prove that it has four connected components, all of dimension 26 and homogeneous under the action of PGL_6.12 pagesAlgebraic Geometry14M15; 14F05; 15A03text