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Newton polygons of higher order in algebraic number theory
| dc.contributor.author | Guàrdia Rubies, Jordi |
| dc.contributor.author | Montes Peral, Jesús |
| dc.contributor.author | Nart, Enric |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
| dc.date.accessioned | 2012-01-25T15:03:12Z |
| dc.date.available | 2012-01-25T15:03:12Z |
| dc.date.created | 2012-01-10 |
| dc.date.issued | 2012-01-10 |
| dc.identifier.citation | Guardia, J.; Montes, J.; Nart, E. Newton polygons of higher order in algebraic number theory. "Transactions of the American Mathematical Society", 10 Gener 2012, vol. 364, núm. 1, p. 361-416. |
| dc.identifier.issn | 0002-9947 |
| dc.identifier.uri | http://hdl.handle.net/2117/14810 |
| dc.description.abstract | We develop a theory of arithmetic Newton polygons of higher order, that provides the factorization of a separable polynomial over a p-adic eld, together with relevant arithmetic information about the elds generated by the irreducible factors. This carries out a program suggested by . Ore. As an application, we obtain fast algorithms to compute discriminants, prime ideal decomposition and integral bases of number elds. |
| dc.format.extent | 56 p. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | Polygons |
| dc.subject.other | Discriminant |
| dc.subject.other | Integral basis |
| dc.subject.other | Local field |
| dc.subject.other | Newton polygon |
| dc.subject.other | Number field |
| dc.subject.other | P-adic factorization |
| dc.subject.other | Prime ideal decomposition |
| dc.title | Newton polygons of higher order in algebraic number theory |
| dc.type | Article |
| dc.subject.lemac | Polígons |
| dc.contributor.group | Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres |
| dc.identifier.doi | 10.1090/S0002-9947-2011-05442-5 |
| dc.rights.access | Open Access |
| local.identifier.drac | 9472319 |
| dc.description.version | Postprint (author’s final draft) |
| local.citation.author | Guardia, J.; Montes, J.; Nart, E. |
| local.citation.publicationName | Transactions of the American Mathematical Society |
| local.citation.volume | 364 |
| local.citation.number | 1 |
| local.citation.startingPage | 361 |
| local.citation.endingPage | 416 |
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