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Degree and height estimates for modular equations on PEL Shimura varieties

hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorKIEFFER, Jean
dc.date.accessioned2024-04-04T02:45:58Z
dc.date.available2024-04-04T02:45:58Z
dc.date.created2021-08-16
dc.date.issued2022-03-11
dc.identifier.issn0024-6107
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191509
dc.description.abstractEnWe define modular equations in the setting of PEL Shimura varieties as equations describing Hecke correspondences, and prove upper bounds on their degrees and heights. This extends known results about elliptic modular polynomials, and implies complexity bounds for number-theoretic algorithms using these modular equations. In particular, we obtain tight degree bounds for modular equations of Siegel and Hilbert type for abelian surfaces.
dc.language.isoen
dc.publisherLondon Mathematical Society ; Wiley
dc.subject.enHecke correspondences
dc.subject.enShimura varieties
dc.subject.enHeights
dc.subject.enAbelian varieties
dc.subject.enModular equations
dc.title.enDegree and height estimates for modular equations on PEL Shimura varieties
dc.typeArticle de revue
dc.identifier.doi10.1112/jlms.12540
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv2001.04138
bordeaux.journalJournal of the London Mathematical Society
bordeaux.page1314-1361
bordeaux.volume105
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02436057
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02436057v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20the%20London%20Mathematical%20Society&rft.date=2022-03-11&rft.volume=105&rft.issue=2&rft.spage=1314-1361&rft.epage=1314-1361&rft.eissn=0024-6107&rft.issn=0024-6107&rft.au=KIEFFER,%20Jean&rft.genre=article


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