On discriminants of multilinear forms
Izvestiya. Mathematics, Tome 62 (1998) no. 2, pp. 215-245
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In this paper, an algorithm for calculating the discriminants of multilinear forms is elaborated. A technique is developed for finding the singularity conditions and other invariants for $n$-ary forms. An integral transformation for forms of degree 3 and higher (an analogue of the Gauss transformation for quadratic forms) is introduced.
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