About algebraic Puiseux series in several variables
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HICKEL, Michel | |
| hal.structure.identifier | Équipe Géométrie | |
| dc.contributor.author | MATUSINSKI, Mickael | |
| dc.date.accessioned | 2024-04-04T03:04:33Z | |
| dc.date.available | 2024-04-04T03:04:33Z | |
| dc.date.issued | 2019-06-01 | |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193164 | |
| dc.description.abstractEn | We deal with the algebraicity of an iterated Puiseux series in several variables in terms of the properties of its coefficients. Our aim is to generalize to several variables the results from [HM15]. We show that the algebraicity of such a series for given bounded degrees is determined by a finite number of explicit universal polynomial formulas. Conversely, given a vanishing polynomial, there is a closed-form formula for the coefficients of the series in terms of the coefficients of the polynomial and of a bounded initial part of the series. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | About algebraic Puiseux series in several variables | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jalgebra.2019.02.004 | |
| dc.subject.hal | Mathématiques [math]/Algèbre commutative [math.AC] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1702.03709 | |
| bordeaux.journal | Journal of Algebra | |
| 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-01914487 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01914487v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Algebra&rft.date=2019-06-01&rft.eissn=0021-8693&rft.issn=0021-8693&rft.au=HICKEL,%20Michel&MATUSINSKI,%20Mickael&rft.genre=article |
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