2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78349The Grassmannians of lines in projective N-space, G(1,N), are embedded by way of the Pl"ucker embedding in the projective space P(\bigwedge^2 C^{N+1}). Let H^l be a general l-codimensional linear subspace in this projective space. We examine the geometry of the linear sections G(1,N)\cap H^l by studying their automorphism groups and list those which are homogeneous or quasihomogeneous.39 pages, 2 figures, e-mail address of the second author is VEN@rulwinw.leidenuniv.nlAlgebraic Geometry14L27, 14M15, 14J50, 14E09text