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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | J. Steffen, Müller | - |
| dc.contributor.author | Berno, Reitsma | - |
| dc.date.accessioned | 2023-04-06T03:21:02Z | - |
| dc.date.available | 2023-04-06T03:21:02Z | - |
| dc.date.issued | 2023 | - |
| dc.identifier.uri | https://link.springer.com/article/10.1007/s40993-023-00429-x | - |
| dc.identifier.uri | https://dlib.phenikaa-uni.edu.vn/handle/PNK/7619 | - |
| dc.description | CC BY | vi |
| dc.description.abstract | 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. | vi |
| dc.language.iso | en | vi |
| dc.publisher | Springer | vi |
| dc.subject | genus 3 over the rationals | vi |
| dc.subject | Magma implementation of our algorithm | vi |
| dc.title | Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3 | vi |
| dc.type | Book | vi |
| Appears in Collections | OER - Khoa học Tự nhiên | |
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