Sets of polynomial rings in two variables and factorizations of polynomial morphisms
| 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 | 2024-04-04T03:11:23Z | |
| dc.date.available | 2024-04-04T03:11:23Z | |
| dc.date.created | 2015 | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193774 | |
| dc.description.abstractEn | Let k be a field. We study infinite strictly descending sequences A0⊃A1⊃⋯ of rings where each Ai is a polynomial ring in two variables over k, the aim being to describe those sequences satisfying the property that their intersection is different from k . We give a complete answer in characteristic zero, and partial results in arbitrary characteristic. We apply those results to the study of dominant morphisms A2→An and their factorizations, where n∈{1,2} and An is the affine n-space over k. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Affine plane | |
| dc.subject.en | Polynomial morphism | |
| dc.subject.en | Birational morphism | |
| dc.subject.en | Polynomial ring | |
| dc.subject.en | Rational polynomial | |
| dc.subject.en | Field generator | |
| dc.title.en | Sets of polynomial rings in two variables and factorizations of polynomial morphisms | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jalgebra.2016.05.006 | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| bordeaux.journal | Journal of Algebra | |
| bordeaux.page | 129-163 | |
| bordeaux.volume | 461 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01447416 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01447416v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Algebra&rft.date=2016&rft.volume=461&rft.spage=129-163&rft.epage=129-163&rft.eissn=0021-8693&rft.issn=0021-8693&rft.au=CASSOU-NOGU%C3%88S,%20Pierrette&DAIGLE,%20Daniel&rft.genre=article |
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