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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierLaboratoire International de Recherche en Informatique et Mathématiques Appliquées [LIRIMA]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierCentre National de la Recherche Scientifique [CNRS]
hal.structure.identifierInstitut National de Recherche en Informatique et en Automatique [Inria]
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
dc.contributor.authorCOUVEIGNES, Jean-Marc
hal.structure.identifierMathematical institute
dc.contributor.authorEDIXHOVEN, Bas
dc.contributor.editorCarel Faber
dc.contributor.editorGavril Farkas
dc.contributor.editorRobin de Jong
dc.date.accessioned2024-04-04T02:44:22Z
dc.date.available2024-04-04T02:44:22Z
dc.date.created2012-05-26
dc.date.issued2012
dc.identifier.isbn978-3-03719-119-4
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191405
dc.description.abstractEnThis article gives an introduction for mathematicians interested in numerical computations in algebraic geometry and number theory to some recent progress in algorithmic number theory, emphasising the key role of approximate computations with modular curves and their Jacobians. These approximations are done in polynomial time in the dimension and the required number of significant digits. We explain the main ideas of how the approximations are done, illustrating them with examples, and we sketch some applications in number theory.
dc.language.isoen
dc.publisherEMS
dc.source.titleGeometry and Arithmetic
dc.title.enApproximate computations with modular curves
dc.typeChapitre d'ouvrage
dc.identifier.doi10.4171/119
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.identifier.arxiv1205.5896
bordeaux.page91-112
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.title.proceedingGeometry and Arithmetic
hal.identifierhal-00772114
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00772114v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Geometry%20and%20Arithmetic&rft.date=2012&rft.spage=91-112&rft.epage=91-112&rft.au=COUVEIGNES,%20Jean-Marc&EDIXHOVEN,%20Bas&rft.isbn=978-3-03719-119-4&rft.genre=unknown


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