Gonality of the modular curve X1(N)
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | DERICKX, Maarten | |
hal.structure.identifier | Florida State University [Tallahassee] [FSU] | |
dc.contributor.author | VAN HOEIJ, Mark | |
dc.date.accessioned | 2024-04-04T03:21:23Z | |
dc.date.available | 2024-04-04T03:21:23Z | |
dc.date.created | 2014-04-01 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194654 | |
dc.description.abstractEn | In this paper we compute the gonality over Q of the modular curve X1(N) for all N <= 40 and give upper bounds for each N <= 250. This allows us to determine all N for which X1(N) has infinitely points of degree <= 8. We conjecture that the modular units of Q(X1(N)) are freely generated by f_2,...,f_{[N/2]+1} where f_k is obtained from the equation for X1(k). | |
dc.language.iso | en | |
dc.title.en | Gonality of the modular curve X1(N) | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 1307.5719 | |
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-01027429 | |
hal.version | 1 | |
hal.audience | Non spécifiée | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01027429v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DERICKX,%20Maarten&VAN%20HOEIJ,%20Mark&rft.genre=preprint |
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