  In this paper we propose a conseptual framework for the observed properties
of discriminants of polylinear forms. The connection with classical problems of
linear algebra is shown. A new class of algebraic varieties (hypergrassmanians)
is introduced, the particular case of which are grassman manifolds. An
algorithm is given for computing the discriminants of polylinear forms of
"boundary format" (hypergrassmanian analogues of plukker coordinates). The
algorithm for computing the discriminants of polylinear forms of general
formats is outlined.
