Okutsu-Montes representations of prime ideals of one-dimensional integral closures
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Publication:555259
DOI10.5565/PUBLMAT_55211_01zbMath1248.11107MaRDI QIDQ555259
Publication date: 22 July 2011
Published in: Publicacions Matemàtiques (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.pm/1308748948
Newton polygonlocal fieldglobal fieldnumber fieldintegral basisprime decompositionOkutsu-Montes representation
Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04) Factorization (11Y05)
Related Items (2)
Local computation of differents and discriminants ⋮ Complexity of OM factorizations of polynomials over local fields
Cites Work
- A new computational approach to ideal theory in number fields
- Single-factor lifting and factorization of polynomials over local fields
- Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields
- Higher Newton polygons and integral bases
- Construction of integral basis. II
- A construction for prime ideals as absolute values of an algebraic field
- Okutsu invariants and Newton polygons
- On the Complexity of the Montes Ideal Factorization Algorithm
- Factoring Polynomials over Local Fields II
- Newton polygons of higher order in algebraic number theory
- A Construction for Absolute Values in Polynomial Rings
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