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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCASSOU-NOGUÈS, Pierrette
hal.structure.identifierDepartment of Mathematics
dc.contributor.authorDAIGLE, Daniel
dc.date.accessioned2024-04-04T03:21:29Z
dc.date.available2024-04-04T03:21:29Z
dc.date.created2013-08-01
dc.date.issued2015
dc.identifier.issn2156-2261
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194660
dc.description.abstractEnLet k be a field. A "field generator" is a polynomial F in k[X,Y] satisfying k(F,G) = k(X,Y) for some G in k(X,Y). If G can be chosen in k[X,Y], we call F a "good field generator"; otherwise, F is a "bad field generator". These notions were first studied by Abhyankar, Jan and Russell in the 1970s. The present paper introduces and studies the notions of "very good" and "very bad" field generators. We give theoretical results as well as new examples of bad and very bad field generators.
dc.language.isoen
dc.publisherDuke University Press
dc.typeArticle de revue
dc.identifier.doi10.1215/21562261-2848160
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.halMathématiques [math]/Algèbre commutative [math.AC]
dc.identifier.arxiv1308.0154
bordeaux.journalKyoto Journal of Mathematics
bordeaux.page187-218
bordeaux.volume55
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01026292
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01026292v1
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