Explicit Riemann-Roch spaces in the Hilbert class field
hal.structure.identifier | Université de Bordeaux [UB] | |
hal.structure.identifier | Institut Polytechnique de Bordeaux [Bordeaux INP] | |
hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
dc.contributor.author | COUVEIGNES, Jean-Marc | |
hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
hal.structure.identifier | Université de Bordeaux [UB] | |
hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
dc.contributor.author | GASNIER, Jean | |
dc.date.accessioned | 2024-04-04T02:32:00Z | |
dc.date.available | 2024-04-04T02:32:00Z | |
dc.date.issued | 2023-09-13 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190346 | |
dc.description.abstractEn | Let $\mathbf K$ be a finite field, $X$ and $Y$ two curves over $\mathbf K$, and $Y\rightarrow X$ an unramified abelian cover with Galois group $G$. Let $D$ be a divisor on $X$ and $E$ its pullback on $Y$. Under mild conditions the linear space associated with $E$ is a free ${\mathbf K}[G]$-module. We study the algorithmic aspects and applications of these modules. | |
dc.language.iso | en | |
dc.title.en | Explicit Riemann-Roch spaces in the Hilbert class field | |
dc.type | Document de travail - Pré-publication | |
dc.type | Prepublication/Preprint | |
dc.subject.hal | Mathématiques [math] | |
dc.identifier.arxiv | 2309.06754 | |
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-04219975 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-04219975v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023-09-13&rft.au=COUVEIGNES,%20Jean-Marc&GASNIER,%20Jean&rft.genre=preprint&unknown |
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