We can estabilish when a tridimensional hypermatrix (tensor) defines a degenerate multilinear form by studying “degenerate points” (singular or “unexpected” points) of some determinantal schemes associated to it. More precisely, we shall prove that a tridimensional hypermatrix is degenerate if and only if the three determinantal schemes associated to it have “degenerate” points.
S. Abrescia (2004). A characterization of degenerate tridimensional tensors. JOURNAL OF PURE AND APPLIED ALGEBRA, 187, 1-17 [10.1016/j.jpaa.2003.07.003].
A characterization of degenerate tridimensional tensors.
ABRESCIA, SILVIA
2004
Abstract
We can estabilish when a tridimensional hypermatrix (tensor) defines a degenerate multilinear form by studying “degenerate points” (singular or “unexpected” points) of some determinantal schemes associated to it. More precisely, we shall prove that a tridimensional hypermatrix is degenerate if and only if the three determinantal schemes associated to it have “degenerate” points.File in questo prodotto:
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