Computing isogenies between Jacobians of hyperelliptic curves of arbitrary genus via differential equations
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
| dc.contributor.author | EID, Elie | |
| dc.date.accessioned | 2024-04-04T02:47:17Z | |
| dc.date.available | 2024-04-04T02:47:17Z | |
| dc.date.created | 2021 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191626 | |
| dc.description.abstractEn | Let $p$ be an odd prime number and be an integer coprime to $p$. We survey an algorithm for computing explicit rational representations of $(\ell,...,\ell)$-isogenies between Jacobians of hyperelliptic curves of arbitrary genus over an extension $K$ of the field of $p$-adic numbers $\mathbb{Q}_p$. The algorithm has a quasi-linear complexity in $\ell$ as well as in the genus of the curves. | |
| dc.language.iso | en | |
| dc.title.en | Computing isogenies between Jacobians of hyperelliptic curves of arbitrary genus via differential equations | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.identifier.arxiv | 2102.08018 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03142205 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03142205v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=EID,%20Elie&rft.genre=preprint |
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