Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3
CC BY
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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/s40993-023-00429-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/7619 |
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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 |
8.887836 |