Fibers of generic Brauer-Severi schemes

In this note we investigate the fibers of Van den Bergh's Brauer-Severi scheme [GRAPHICS] of the trace ring of m generic n x n matrices over the variety of matrix-invariants. If xi is an element of V(m, n) is a point of representation type (m(1), , n(1);...; m(r), n(r)), then the reduced variety of eta(-1)(xi) has (Sigma m(i))!/Pi m(i)! irreducible components each of dimension [GRAPHICS] (C) 1999 Academic Press.