Some remarks on degeneracy of tridimensional tensors
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910209528561664 |
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| author | Gimigliano, Alessandro Idà, Monica |
| author_facet | Gimigliano, Alessandro Idà, Monica |
| contents | We study tridimensional tensors on the complex field from the point of view of hypermatrices, taking into consideration the problem of determining whether they are degenerate or not, concise or not, what is their essential format if they are non-coincise, and, in some cases, their tensor rank. We use a geometrical approach to these problems which, in part, goes back to Schläfli and consists in studying certain determinantal schemes associated to the hypermatrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_10866 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some remarks on degeneracy of tridimensional tensors Gimigliano, Alessandro Idà, Monica Algebraic Geometry 15A69 (Primary) 14M12 (Secondary) We study tridimensional tensors on the complex field from the point of view of hypermatrices, taking into consideration the problem of determining whether they are degenerate or not, concise or not, what is their essential format if they are non-coincise, and, in some cases, their tensor rank. We use a geometrical approach to these problems which, in part, goes back to Schläfli and consists in studying certain determinantal schemes associated to the hypermatrix. |
| title | Some remarks on degeneracy of tridimensional tensors |
| topic | Algebraic Geometry 15A69 (Primary) 14M12 (Secondary) |
| url | https://arxiv.org/abs/2605.10866 |