Projective surfaces not as Hadamard products and the dimensions of the Hadamard joins
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910574789525504 |
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| author | Ballico, Edoardo |
| author_facet | Ballico, Edoardo |
| contents | We study the dimensions of Hadamard products of $k\ge 3$ varieties if we allow to modify $k-1$ of them by the action of a general projective linear transformation. We also prove that the join of a variety not contained in a coordinate hyperplane with a ``nice'' curve always has the expected dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12861 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Projective surfaces not as Hadamard products and the dimensions of the Hadamard joins Ballico, Edoardo Algebraic Geometry 14N05, 14M99, 14N07 We study the dimensions of Hadamard products of $k\ge 3$ varieties if we allow to modify $k-1$ of them by the action of a general projective linear transformation. We also prove that the join of a variety not contained in a coordinate hyperplane with a ``nice'' curve always has the expected dimension. |
| title | Projective surfaces not as Hadamard products and the dimensions of the Hadamard joins |
| topic | Algebraic Geometry 14N05, 14M99, 14N07 |
| url | https://arxiv.org/abs/2408.12861 |