Superfat points and associated tensors
| Autor: | Canino, Stefano, Catalisano, Maria Virginia, Gimigliano, Alessandro, Idà, Monica |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 20 pages, 6 figures |
| Databáze: | arXiv |
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