Abstract
be a trilinear form in R, and let JA denote the ideal of R generated by all the partial derivatives of A. A question that arises from the theory of hyperdeterminants (see [GKZ, page 445]) is the following: What can be said about the ideal JA? A reason for this question emerges, among other things, from results which show that information on the depth of JA and, more finely, on the primary decomposition of JA, is linked to information on the hyperdeterminant of A, (see [BW]). The difficulty with hyperdeterminants, whose definition makes sense only when n ≤ m + p − 1, is that there is no explicit formula for them. However,
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