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

Enric Nart

doi:https://doi.org/10.5565/PUBLMAT_55211_01

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

Enric Nart

Department of Mathematics

Research output: Contribution to journal › Review article › Research › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	261-294
Journal	Publicacions Matematiques
Volume	55
Issue number	2
DOIs	https://doi.org/10.5565/PUBLMAT_55211_01
Publication status	Published - 1 Jan 2011

Keywords

Global field
Integral basis
Local field
Montes algorithm
Newton polygon
Okutsu-Montes representation

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https://doi.org/10.5565/PUBLMAT_55211_01

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

Cite this

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

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year = "2011",

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KW - Local field

KW - Montes algorithm

KW - Newton polygon

KW - Okutsu-Montes representation

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

Abstract

Keywords

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