Okutsu-montes representations of prime ideals of one-dimensional integral closures

Enric Nart

doi:10.5565/PUBLMAT_55211_01

Okutsu-montes representations of prime ideals of one-dimensional integral closures

Enric Nart

Departament de Matemàtiques

Producció científica: Contribució a revista › Article de revisió › Recerca › Avaluat per experts

4 Cites (Scopus)

Resum

This is a survey on Okutsu-Montes representations of prime ideals of certain one-dimensional integral closures. These representa- tions facilitate the computational resolution of several arithmetic tasks concerning prime ideals of global fields.

Idioma original	Anglès
Pàgines (de-a)	261-294
Revista	Publicacions Matematiques
Volum	55
Número	2
DOIs	https://doi.org/10.5565/PUBLMAT_55211_01
Estat de la publicació	Publicada - 1 de gen. 2011

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10.5565/PUBLMAT_55211_01

https://ddd.uab.cat/record/76156

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title = "Okutsu-montes representations of prime ideals of one-dimensional integral closures",

abstract = "This is a survey on Okutsu-Montes representations of prime ideals of certain one-dimensional integral closures. These representa- tions facilitate the computational resolution of several arithmetic tasks concerning prime ideals of global fields.",

keywords = "Newton polygon, Integral basis, Local field, Okutsu-Montes representation, Global field, Montes algorithm",

author = "Enric Nart",

year = "2011",

month = jan,

day = "1",

doi = "10.5565/PUBLMAT\_55211\_01",

language = "English",

volume = "55",

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N2 - This is a survey on Okutsu-Montes representations of prime ideals of certain one-dimensional integral closures. These representa- tions facilitate the computational resolution of several arithmetic tasks concerning prime ideals of global fields.

AB - This is a survey on Okutsu-Montes representations of prime ideals of certain one-dimensional integral closures. These representa- tions facilitate the computational resolution of several arithmetic tasks concerning prime ideals of global fields.

KW - Newton polygon

KW - Integral basis

KW - Local field

KW - Okutsu-Montes representation

KW - Global field

KW - Montes algorithm

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UR - https://www.scopus.com/pages/publications/79958732158

U2 - 10.5565/PUBLMAT_55211_01

DO - 10.5565/PUBLMAT_55211_01

M3 - Review article

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Okutsu-montes representations of prime ideals of one-dimensional integral closures

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