Newton process and semigroups of irreducible quasi-ordinary power series
The Newton process were introduced by Artal-Bartolo, Cassou-Noguès, Luengo and Melle-Hernández as a generalization of the Newton algorithm associated to plane curve singularities. Newton process is useful to study ν-quasi-ordinary and quasi-ordinary polynomials in any number of variables. We descr...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2014
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| In: |
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales . Serie A, Matemáticas
Year: 2013, Jahrgang: 108, Heft: 1, Pages: 259-279 |
| ISSN: | 1579-1505 |
| DOI: | 10.1007/s13398-013-0139-1 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s13398-013-0139-1 |
| Verfasserangaben: | Manuel González Villa |
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| 520 | |a The Newton process were introduced by Artal-Bartolo, Cassou-Noguès, Luengo and Melle-Hernández as a generalization of the Newton algorithm associated to plane curve singularities. Newton process is useful to study ν-quasi-ordinary and quasi-ordinary polynomials in any number of variables. We describe numerically the Newton process associated to a quasi-ordinary branch of an irreducible quasi-ordinary polynomial in terms of its characteristic exponents. We show the relation between these numerical data and the semigroup of the singularity, give a criterium for irreducibility of quasi-ordinary polynomials and describe the normalization of irreducible quasi-ordinary surfaces in terms of the numerical data. We also study why and when irreducibility fails to be preserved by the Newton process. | ||
| 534 | |c 2013 | ||
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