A Non-Archimedean Second Main Theorem for Hypersurfaces in Subgeneral Position
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909370797785088 |
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| author | An, Ta Thi Hoai Cherry, William Phuong, Nguyen Viet |
| author_facet | An, Ta Thi Hoai Cherry, William Phuong, Nguyen Viet |
| contents | We apply an idea of Levin to obtain a non-truncated second main theorem for non-Archimedean analytic maps approximating algebraic hypersurfaces in subgeneral position. In some cases, for example when all the hypersurfaces are non-linear and all the intersections are transverse, this improves an inequality of Quang, whose inequality is sharp for the case of hyperplanes in subgeneral position. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07210 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Non-Archimedean Second Main Theorem for Hypersurfaces in Subgeneral Position An, Ta Thi Hoai Cherry, William Phuong, Nguyen Viet Algebraic Geometry Complex Variables 30G06 We apply an idea of Levin to obtain a non-truncated second main theorem for non-Archimedean analytic maps approximating algebraic hypersurfaces in subgeneral position. In some cases, for example when all the hypersurfaces are non-linear and all the intersections are transverse, this improves an inequality of Quang, whose inequality is sharp for the case of hyperplanes in subgeneral position. |
| title | A Non-Archimedean Second Main Theorem for Hypersurfaces in Subgeneral Position |
| topic | Algebraic Geometry Complex Variables 30G06 |
| url | https://arxiv.org/abs/2408.07210 |