Minimal Terracini loci in projective spaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915020724502528 |
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| author | Ballico, Edoardo Brambilla, Maria Chiara |
| author_facet | Ballico, Edoardo Brambilla, Maria Chiara |
| contents | We characterize the number of points for which there exist non-empty Terracini sets of points in $\mathbb{P}^n$. Then we study minimally Terracini finite sets of points in $\mathbb{P}^n$ and we obtain a complete description in the case of $\mathbb{P}^3$, when the number of points is less than twice the degree of the linear system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07161 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Minimal Terracini loci in projective spaces Ballico, Edoardo Brambilla, Maria Chiara Algebraic Geometry Commutative Algebra 14C20 (Primary) 14N07 (Secondary) We characterize the number of points for which there exist non-empty Terracini sets of points in $\mathbb{P}^n$. Then we study minimally Terracini finite sets of points in $\mathbb{P}^n$ and we obtain a complete description in the case of $\mathbb{P}^3$, when the number of points is less than twice the degree of the linear system. |
| title | Minimal Terracini loci in projective spaces |
| topic | Algebraic Geometry Commutative Algebra 14C20 (Primary) 14N07 (Secondary) |
| url | https://arxiv.org/abs/2306.07161 |