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dc.contributor.authorEDIXHOVEN, Bas
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPARENT, Pierre
dc.date.accessioned2024-04-04T03:00:13Z
dc.date.available2024-04-04T03:00:13Z
dc.date.issued2021
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192800
dc.description.abstractEnWe complete the description of semistable models for modular curves associated with maximal subgroups of $\mathrm{GL}_2 ({\mathbb F}_p )$ (for $p$ any prime, $p>5$). That is, in the new cases of non-split Cartan modular curves and exceptional subgroups, we identify the irreducible components and singularities of the reduction mod $p$, and the complete local rings at the singularities. We review the case of split Cartan modular curves. This description suffices for computing the group of connected components of the fibre at $p$ of the Néron model of the Jacobian.
dc.language.isoen
dc.subject.enmodular
dc.subject.ensingularity
dc.subject.enCartan
dc.subject.enexceptional
dc.subject.enfibre
dc.subject.enstability
dc.subject.en11G18
dc.subject.en11G20
dc.subject.en14G35 (sec- ondary)
dc.title.enSemistable reduction of modular curves associated with maximal subgroups in prime level
dc.typeArticle de revue
dc.identifier.doi10.25537/dm.2021v26.231-269
dc.subject.halPhysique [physics]/Physique mathématique [math-ph]
dc.identifier.arxiv1907.02418
bordeaux.journalDoc.Math
bordeaux.page231
bordeaux.volume26
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02198377
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02198377v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Doc.Math&rft.date=2021&rft.volume=26&rft.spage=231&rft.epage=231&rft.au=EDIXHOVEN,%20Bas&PARENT,%20Pierre&rft.genre=article


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