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On the profinite regular inverse Galois Problem
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
hal.structure.identifier | Théorie des Nombres et Algorithmique Arithmétique [A2X] | |
dc.contributor.author | CADORET, Anna | |
dc.date.issued | 2008 | |
dc.description.abstractEn | Given a field k, a k-curve X and a k-rational divisor t ⊂ X, we analyze the constraints imposed on X and t by the existence of abelian G-covers f : Y → X defined over k and unramified outside t. We show that these constraints produce an obstruction to the weak regular inverse Galois problem for a whole class of profinite groups - we call p-obstructed - when k is a finitely generated field of characteristic ̸= p. | |
dc.language.iso | en | |
dc.title.en | On the profinite regular inverse Galois Problem | |
dc.type | Article de revue | |
bordeaux.journal | Research Institute for Mathematical Sciences | |
bordeaux.page | 1143-1168 | |
bordeaux.volume | 44 | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00355710 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00355710v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Research%20Institute%20for%20Mathematical%20Sciences&rft.date=2008&rft.volume=44&rft.spage=1143-1168&rft.epage=1143-1168&rft.au=CADORET,%20Anna&rft.genre=article |
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