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Arithmetic of hyperelliptic curves over local fields

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Bibliographic Details
Main Authors: Tim, Dokchitser, Vladimir, Dokchitser, Céline, Maistret
Format: Book
Language:English
Published: Springer 2023
Subjects:
hyperelliptic curves y2=f(x)
p-adic distances
Online Access:https://link.springer.com/article/10.1007/s00208-021-02319-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7421
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spelling 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

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