On the characteristic roots of matric polynomials

Each normal Cn image of a line meets each base 5n_2 in n — 2 points and does not intersect the ruled variety. The images of planes intersect R in (n-\-l)(n — 2)/2 lines. The plane meets each base 5n-2 in a point, the image of which is a line meeting n of the base 5n'_2 and lying on F2. Each base Sn-2 meets R in a manifold of dimensionality n — 3 and of order n — 1. For ^ = 4, the two-dimensional variety of order 5 has an infinite number of plane elliptic cubic curves, but the corresponding property is not true for larger values of n although the intersections of each base Sn-2 and R are birationally equivalent.