Superfat points and associated tensors
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908054778281984 |
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| author | Canino, Stefano Catalisano, Maria Virginia Gimigliano, Alessandro Idà, Monica |
| author_facet | Canino, Stefano Catalisano, Maria Virginia Gimigliano, Alessandro Idà, Monica |
| contents | We consider 0-dimensional schemes supported at a single point in n-space that are m-symmetric, i.e. that intersect any smooth curve passing through the point with length m, and the ones among them that are maximal with respect to inclusion (called m-superfat points). We study properties of such schemes, in particular for n=2. We give a first application of the simplest such schemes, namely 2-superfat points in the plane, by studying varieties defined by them on Veronese and Segre-Veronese varieties and the (symmetric or partially symmetric) tensors they parameterize. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_08162 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Superfat points and associated tensors Canino, Stefano Catalisano, Maria Virginia Gimigliano, Alessandro Idà, Monica Algebraic Geometry Commutative Algebra 14N07, 15A69, 14C99 We consider 0-dimensional schemes supported at a single point in n-space that are m-symmetric, i.e. that intersect any smooth curve passing through the point with length m, and the ones among them that are maximal with respect to inclusion (called m-superfat points). We study properties of such schemes, in particular for n=2. We give a first application of the simplest such schemes, namely 2-superfat points in the plane, by studying varieties defined by them on Veronese and Segre-Veronese varieties and the (symmetric or partially symmetric) tensors they parameterize. |
| title | Superfat points and associated tensors |
| topic | Algebraic Geometry Commutative Algebra 14N07, 15A69, 14C99 |
| url | https://arxiv.org/abs/2305.08162 |