Askey-Wilson version of Second Main Theorem for holomorphic curves in projective space
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909424798400512 |
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| author | Tan, Chengliang Korhonen, Risto |
| author_facet | Tan, Chengliang Korhonen, Risto |
| contents | In this paper, an Askey-Wilson version of the Wronskian-Casorati determinant $\mathcal{W}(f_{0}, \dots, f_{n})(x)$ for meromorphic functions $f_{0}, \dots, f_{n}$ is introduced to establish an Askey-Wilson version of the general form of the Second Main Theorem in projective space. This improves upon the original Second Main Theorem for the Askey-Wilson operator due to Chiang and Feng. In addition, by taking into account the number of irreducible components of hypersurfaces, an Askey-Wilson version of the Truncated Second Main Theorem for holomorphic curves into projective space with hypersurfaces located in $l$-subgeneral position is obtained. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_08510 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Askey-Wilson version of Second Main Theorem for holomorphic curves in projective space Tan, Chengliang Korhonen, Risto Complex Variables 32H30, 30D35, 39A13 In this paper, an Askey-Wilson version of the Wronskian-Casorati determinant $\mathcal{W}(f_{0}, \dots, f_{n})(x)$ for meromorphic functions $f_{0}, \dots, f_{n}$ is introduced to establish an Askey-Wilson version of the general form of the Second Main Theorem in projective space. This improves upon the original Second Main Theorem for the Askey-Wilson operator due to Chiang and Feng. In addition, by taking into account the number of irreducible components of hypersurfaces, an Askey-Wilson version of the Truncated Second Main Theorem for holomorphic curves into projective space with hypersurfaces located in $l$-subgeneral position is obtained. |
| title | Askey-Wilson version of Second Main Theorem for holomorphic curves in projective space |
| topic | Complex Variables 32H30, 30D35, 39A13 |
| url | https://arxiv.org/abs/2412.08510 |