The Second Main Theorem with moving hypersurfaces in subgeneral position
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912174847295488 |
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| author | Cai, Qili Yang, Chin-Jui |
| author_facet | Cai, Qili Yang, Chin-Jui |
| contents | In this paper, we prove a second main theorem for a holomorphic curve $f$ into $\mathbb P^N (\mathbb C)$ with a family of slowly moving hypersurfaces $D_1,...,D_q$ with respect to $f$ in $m$-subgeneral position, proving an inequality with factor $3 \over 2$. The motivation comes from the recent result of Heier and Levin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00833 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Second Main Theorem with moving hypersurfaces in subgeneral position Cai, Qili Yang, Chin-Jui Complex Variables 32H30 (Primary), 32A22 (Secondary) In this paper, we prove a second main theorem for a holomorphic curve $f$ into $\mathbb P^N (\mathbb C)$ with a family of slowly moving hypersurfaces $D_1,...,D_q$ with respect to $f$ in $m$-subgeneral position, proving an inequality with factor $3 \over 2$. The motivation comes from the recent result of Heier and Levin. |
| title | The Second Main Theorem with moving hypersurfaces in subgeneral position |
| topic | Complex Variables 32H30 (Primary), 32A22 (Secondary) |
| url | https://arxiv.org/abs/2501.00833 |