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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDERICKX, Maarten
hal.structure.identifierFlorida State University [Tallahassee] [FSU]
dc.contributor.authorVAN HOEIJ, Mark
dc.date.accessioned2024-04-04T03:21:23Z
dc.date.available2024-04-04T03:21:23Z
dc.date.created2014-04-01
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194654
dc.description.abstractEnIn 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.isoen
dc.title.enGonality of the modular curve X1(N)
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1307.5719
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01027429
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01027429v1
bordeaux.COinSctx_ver=Z39.88-2004&amp;rft_val_fmt=info:ofi/fmt:kev:mtx:journal&amp;rft.au=DERICKX,%20Maarten&amp;VAN%20HOEIJ,%20Mark&amp;rft.genre=preprint


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