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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2209.00469 |
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| _version_ | 1866914650067566592 |
|---|---|
| author | Liu, Qing |
| author_facet | Liu, Qing |
| contents | We describe an algorithm for determining a minimal Weierstrass equation for hyperelliptic curves over principal ideal domains. When the curve has a rational Weierstrass point $w_0$, we also give a similar algorithm for determining the minimal Weierstrass equation with respect to $w_0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_00469 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Computing minimal Weierstrass equations Liu, Qing Number Theory 11G30, 11G20 We describe an algorithm for determining a minimal Weierstrass equation for hyperelliptic curves over principal ideal domains. When the curve has a rational Weierstrass point $w_0$, we also give a similar algorithm for determining the minimal Weierstrass equation with respect to $w_0$. |
| title | Computing minimal Weierstrass equations |
| topic | Number Theory 11G30, 11G20 |
| url | https://arxiv.org/abs/2209.00469 |