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Harbater-Mumford subvarieties of moduli spaces of covers

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCADORET, Anna
dc.date.accessioned2024-04-04T02:42:28Z
dc.date.available2024-04-04T02:42:28Z
dc.date.issued2005
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191244
dc.description.abstractEnIn this paper we define Harbater-Mumford subvarieties, which are special kinds of closed subvarieties of Hurwitz moduli spaces obtained by fixing some of the branch points. We show that, for many finite groups, finding geomet- rically irreducible HM-subvarieties defined over Q is always possible. This provides information on the arithmetic of Hurwitz spaces and applies in particular to the regular inverse Galois problem with (almost all) fixed branch points. Profinite versions of our results can also be stated, providing new tools to study the geometry of Modular Towers and the regular inverse Galois problem for profinite groups.
dc.language.isoen
dc.title.enHarbater-Mumford subvarieties of moduli spaces of covers
dc.typeArticle de revue
bordeaux.journalMathematical annalen
bordeaux.page355-391
bordeaux.volume333
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-00355687
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00355687v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20annalen&rft.date=2005&rft.volume=333&rft.issue=2&rft.spage=355-391&rft.epage=355-391&rft.au=CADORET,%20Anna&rft.genre=article


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