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.
A characterization of degenerate tridimensional tensors / S. Abrescia. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 187:(2004), pp. 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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