[Sans titre]
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CASSOU-NOGUÈS, Pierrette | |
| hal.structure.identifier | Department of Mathematics | |
| dc.contributor.author | DAIGLE, Daniel | |
| dc.date.accessioned | 2024-04-04T03:21:29Z | |
| dc.date.available | 2024-04-04T03:21:29Z | |
| dc.date.created | 2013-08-01 | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 2156-2261 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194660 | |
| dc.description.abstractEn | Let 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.iso | en | |
| dc.publisher | Duke University Press | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1215/21562261-2848160 | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.subject.hal | Mathématiques [math]/Algèbre commutative [math.AC] | |
| dc.identifier.arxiv | 1308.0154 | |
| bordeaux.journal | Kyoto Journal of Mathematics | |
| bordeaux.page | 187-218 | |
| bordeaux.volume | 55 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01026292 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01026292v1 | |
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