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.
Titolo: | A characterization of degenerate tridimensional tensors. |
Autore/i: | ABRESCIA, SILVIA |
Autore/i Unibo: | |
Anno: | 2004 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jpaa.2003.07.003 |
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. |
Data prodotto definitivo in UGOV: | 2014-12-17 12:49:40 |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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