Degree of Ball Maps with Maximum Geometric Rank
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866913554425184256 |
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| author | Helal, Abdullah Al |
| author_facet | Helal, Abdullah Al |
| contents | This work focuses on the degree bound of maps between balls with maximum geometric rank and minimum target dimension where this geometric rank occurs. Specifically, we show that rational proper maps between $\mathbb{B}_n$ and $\mathbb{B}_N$ with $n \geq 2$, $N = \frac{n(n+1)}{2}$, and geometric rank $n-1$ cannot have a degree of more than $n+1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14959 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Degree of Ball Maps with Maximum Geometric Rank Helal, Abdullah Al Complex Variables 32H35 (Primary) 32A08, 32H02 (Secondary) This work focuses on the degree bound of maps between balls with maximum geometric rank and minimum target dimension where this geometric rank occurs. Specifically, we show that rational proper maps between $\mathbb{B}_n$ and $\mathbb{B}_N$ with $n \geq 2$, $N = \frac{n(n+1)}{2}$, and geometric rank $n-1$ cannot have a degree of more than $n+1$. |
| title | Degree of Ball Maps with Maximum Geometric Rank |
| topic | Complex Variables 32H35 (Primary) 32A08, 32H02 (Secondary) |
| url | https://arxiv.org/abs/2410.14959 |