Normal Families of Holomorphic Curves and Sharing of Moving Hyperplanes Wandering on $\mathbb{P}^n$
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909353390374912 |
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| author | Datt, Gopal Gupta, Naveen Khanna, Nikhil Pal, Ritesh |
| author_facet | Datt, Gopal Gupta, Naveen Khanna, Nikhil Pal, Ritesh |
| contents | In this paper, we extend a result of Schwick concerning normality and sharing values in one complex variable for families of holomorphic curves taking values in $\mathbb{P}^n$. We consider wandering moving hyperplanes (i.e., depending on the respective holomorphic curve in the family under consideration), and establish a sufficient condition of normality concerning shared hyperplanes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13433 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Normal Families of Holomorphic Curves and Sharing of Moving Hyperplanes Wandering on $\mathbb{P}^n$ Datt, Gopal Gupta, Naveen Khanna, Nikhil Pal, Ritesh Complex Variables 32A19, 30D45 In this paper, we extend a result of Schwick concerning normality and sharing values in one complex variable for families of holomorphic curves taking values in $\mathbb{P}^n$. We consider wandering moving hyperplanes (i.e., depending on the respective holomorphic curve in the family under consideration), and establish a sufficient condition of normality concerning shared hyperplanes. |
| title | Normal Families of Holomorphic Curves and Sharing of Moving Hyperplanes Wandering on $\mathbb{P}^n$ |
| topic | Complex Variables 32A19, 30D45 |
| url | https://arxiv.org/abs/2410.13433 |