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Rational maps with integer multipliers

hal.structure.identifierInstitut de Mathématiques de Toulouse UMR5219 [IMT]
dc.contributor.authorBUFF, Xavier
hal.structure.identifierLaboratoire de Mathématiques d'Orsay [LMO]
dc.contributor.authorGAUTHIER, Thomas
dc.contributor.authorHUGUIN, Valentin
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRAISSY, Jasmin
dc.date.accessioned2024-04-04T02:37:22Z
dc.date.available2024-04-04T02:37:22Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190794
dc.description.abstractEnLet $O_K$ be the ring of integers of an imaginary quadratic field. Recently, Zhuchao Ji and Junyi Xie proved that rational maps whose multipliers at all periodic points belong to $O_K$ are power maps, Chebyshev maps or Lattès maps. Their proof relies on a non-archimedean result by Benedetto, Ingram, Jones and Levy. In this note, we show that one may avoid using this non-archimedean result by considering a differential equation instead.
dc.language.isoen
dc.title.enRational maps with integer multipliers
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]
dc.identifier.arxiv2212.03661
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03888827
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03888827v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BUFF,%20Xavier&GAUTHIER,%20Thomas&HUGUIN,%20Valentin&RAISSY,%20Jasmin&rft.genre=preprint


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