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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.12821 |
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| _version_ | 1866912075011325952 |
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| author | Liu, Chunhui |
| author_facet | Liu, Chunhui |
| contents | In this article, we give an explicit and uniform lower bound of the arithmetic Hilbert-Samuel function of projective hypersurfaces, which has the optimal dominant term. As an application, we apply this lower bound in the determinant method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12821 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniform lower bound of arithmetic Hilbert--Samuel function of hypersurfaces Liu, Chunhui Algebraic Geometry In this article, we give an explicit and uniform lower bound of the arithmetic Hilbert-Samuel function of projective hypersurfaces, which has the optimal dominant term. As an application, we apply this lower bound in the determinant method. |
| title | Uniform lower bound of arithmetic Hilbert--Samuel function of hypersurfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.12821 |