Cover Image

Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3

CC BY

Saved in:
Bibliographic Details
Main Authors: J. Steffen, Müller, Berno, Reitsma
Format: Book
Language:English
Published: Springer 2023
Subjects:
genus 3 over the rationals
Magma implementation of our algorithm
Online Access:https://link.springer.com/article/10.1007/s40993-023-00429-x
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7619
Tags: Add Tag
No Tags, Be the first to tag this record!
id oai:localhost:PNK-7619
record_format dspace
spelling oai:localhost:PNK-76192023-04-06T03:21:02Z Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3 J. Steffen, Müller Berno, Reitsma genus 3 over the rationals Magma implementation of our algorithm CC BY We introduce an algorithm to compute the structure of the rational torsion subgroup of the Jacobian of a hyperelliptic curve of genus 3 over the rationals. We apply a Magma implementation of our algorithm to a database of curves with low discriminant due to Sutherland as well as a list of curves with small coefficients. In the process, we find several torsion structures not previously described in the literature. The algorithm is a generalisation of an algorithm for genus 2 due to Stoll, which we extend to abelian varieties satisfying certain conditions. 2023-04-06T03:21:02Z 2023-04-06T03:21:02Z 2023 Book https://link.springer.com/article/10.1007/s40993-023-00429-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/7619 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic genus 3 over the rationals
Magma implementation of our algorithm
spellingShingle genus 3 over the rationals
Magma implementation of our algorithm
J. Steffen, Müller
Berno, Reitsma
Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3
description CC BY
format Book
author J. Steffen, Müller
Berno, Reitsma
author_facet J. Steffen, Müller
Berno, Reitsma
author_sort J. Steffen, Müller
title Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3
title_short Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3
title_full Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3
title_fullStr Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3
title_full_unstemmed Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3
title_sort computing torsion subgroups of jacobians of hyperelliptic curves of genus 3
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s40993-023-00429-x
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7619
_version_ 1762456092344844288
score 8.891145

Similar Items