Number fields generated by points in linear systems on curves
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908548719443968 |
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| author | Balçik, Irmak Chan, Stephanie Liu, Yuan Viray, Bianca |
| author_facet | Balçik, Irmak Chan, Stephanie Liu, Yuan Viray, Bianca |
| contents | We develop techniques for determining the fibers of a morphism of curves $ϕ: C \to D$ over a nonarchimedean local field $K$. These results have applications to studying closed point on curves over global fields since closed points on $C$ of large degree or of very small degree are known to all arise as fibers of morphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07846 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Number fields generated by points in linear systems on curves Balçik, Irmak Chan, Stephanie Liu, Yuan Viray, Bianca Number Theory Algebraic Geometry 11G30, 11G25, 14H25 We develop techniques for determining the fibers of a morphism of curves $ϕ: C \to D$ over a nonarchimedean local field $K$. These results have applications to studying closed point on curves over global fields since closed points on $C$ of large degree or of very small degree are known to all arise as fibers of morphisms. |
| title | Number fields generated by points in linear systems on curves |
| topic | Number Theory Algebraic Geometry 11G30, 11G25, 14H25 |
| url | https://arxiv.org/abs/2503.07846 |