Arithmetic of hyperelliptic curves over local fields
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00208-021-02319-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7421 |
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oai:localhost:PNK-74212023-04-03T03:25:47Z Arithmetic of hyperelliptic curves over local fields Tim, Dokchitser Vladimir, Dokchitser Céline, Maistret hyperelliptic curves y2=f(x) p-adic distances CC BY We study hyperelliptic curves y2=f(x) over local fields of odd residue characteristic. We introduce the notion of a “cluster picture” associated to the curve, that describes the p-adic distances between the roots of f(x), and show that this elementary combinatorial object encodes the curve’s Galois representation, conductor, whether the curve is semistable, and if so, the special fibre of its minimal regular model, the discriminant of its minimal Weierstrass equation and other invariants. 2023-04-03T03:25:47Z 2023-04-03T03:25:47Z 2022 Book https://link.springer.com/article/10.1007/s00208-021-02319-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7421 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
hyperelliptic curves y2=f(x) p-adic distances |
| spellingShingle |
hyperelliptic curves y2=f(x) p-adic distances Tim, Dokchitser Vladimir, Dokchitser Céline, Maistret Arithmetic of hyperelliptic curves over local fields |
| description |
CC BY |
| format |
Book |
| author |
Tim, Dokchitser Vladimir, Dokchitser Céline, Maistret |
| author_facet |
Tim, Dokchitser Vladimir, Dokchitser Céline, Maistret |
| author_sort |
Tim, Dokchitser |
| title |
Arithmetic of hyperelliptic curves over local fields |
| title_short |
Arithmetic of hyperelliptic curves over local fields |
| title_full |
Arithmetic of hyperelliptic curves over local fields |
| title_fullStr |
Arithmetic of hyperelliptic curves over local fields |
| title_full_unstemmed |
Arithmetic of hyperelliptic curves over local fields |
| title_sort |
arithmetic of hyperelliptic curves over local fields |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00208-021-02319-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7421 |
| _version_ |
1762184302209007616 |
| score |
8.89252 |