On the Hermitian Veronesean
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910934833823744 |
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| author | Bamberg, John Van de Voorde, Geertrui |
| author_facet | Bamberg, John Van de Voorde, Geertrui |
| contents | The Hermitian Veronesean in $PG(3,q^2)$, given by $\mathcal{V}:=\{ (1,x,x^q,x^{q+1}):x\in\mathbb{F}_q\}\cup\{(0,0,0,1)\}$, is a well-studied rational curve, and forms a {\em special} set of the Hermitian surface $H(3,q^2)$. In this paper, we give two local characterisations of the Hermitian Veronesean, based on sublines and triples of points in perspective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05827 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Hermitian Veronesean Bamberg, John Van de Voorde, Geertrui Combinatorics 51E12, 05B25, 51E20 The Hermitian Veronesean in $PG(3,q^2)$, given by $\mathcal{V}:=\{ (1,x,x^q,x^{q+1}):x\in\mathbb{F}_q\}\cup\{(0,0,0,1)\}$, is a well-studied rational curve, and forms a {\em special} set of the Hermitian surface $H(3,q^2)$. In this paper, we give two local characterisations of the Hermitian Veronesean, based on sublines and triples of points in perspective. |
| title | On the Hermitian Veronesean |
| topic | Combinatorics 51E12, 05B25, 51E20 |
| url | https://arxiv.org/abs/2505.05827 |