ν-QUASI-ORDINARY POWER SERIES: FACTORISATION, NEWTON TREES AND RESULTANTS
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CASSOU-NOGUES, Pierrette | |
| hal.structure.identifier | Department of mathematics | |
| dc.contributor.author | BARTOLO, E. Artal | |
| hal.structure.identifier | Department of Algebra | |
| dc.contributor.author | LUENGO, I. | |
| hal.structure.identifier | Departamento de Álgebra [Madrid] | |
| dc.contributor.author | MELLE-HERNÁNDEZ, A. | |
| dc.date.accessioned | 2024-04-04T03:21:04Z | |
| dc.date.available | 2024-04-04T03:21:04Z | |
| dc.date.issued | 2011 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194638 | |
| dc.description.abstractEn | A generalization of quasi-ordinary power series is studied. This class, called ν-quasi-ordinary, was introduced by H. Hironaka and iy is defined by a very mild condition on its (projected) Newton polygon. I. Luengo used ν- quasiordinary power series to give a proof of the Jung-Abhyankar theorem for quasiordinary power series. In this paper, a factorization theorem for ν-quasi- ordinary power series is given. Using the factorizacion theorem we codify ν-quasiordinary power series by its Newton tree, and we use it to compute the generalized intersection multiplicity of two ν-quasiordinary power series, resultant and discriminant. | |
| dc.language.iso | en | |
| dc.publisher | AMS, Providence, RI | |
| dc.source.title | Topology of algebraic varieties and singularities | |
| dc.title.en | ν-QUASI-ORDINARY POWER SERIES: FACTORISATION, NEWTON TREES AND RESULTANTS | |
| dc.type | Chapitre d'ouvrage | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| bordeaux.page | 321-343 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.title.proceeding | Topology of algebraic varieties and singularities | |
| hal.identifier | hal-01038086 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01038086v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Topology%20of%20algebraic%20varieties%20and%20singularities&rft.date=2011&rft.spage=321-343&rft.epage=321-343&rft.au=CASSOU-NOGUES,%20Pierrette&BARTOLO,%20E.%20Artal&LUENGO,%20I.&MELLE-HERN%C3%81NDEZ,%20A.&rft.genre=unknown |
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