Genetics of polynomials over local fields

DOI10.1090/conm/637/12767zbMath1396.11143arXiv1309.4340OpenAlexW1552802456MaRDI QIDQ2811795

Jordi Guárdia i Rúbies, Enric Nart Viñals

Publication date: 10 June 2016

Published in: Algorithmic Arithmetic, Geometry, and Coding Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4340

zbMATH Keywords

Newton polygontypevaluationlocal fieldMontes algorithmOM representationgenomic treeOkutsu equivalenceOM factorization

Mathematics Subject Classification ID

Units and factorization (11R27) Algebraic number theory computations (11Y40) Polynomials (irreducibility, etc.) (11R09) Factorization (11Y05) Polynomials (11S05)

Related Items (14)

Computation of integral bases ⋮ On index divisors and monogenity of certain septic number fields defined by x⁷ + ax³ + b ⋮ ON THE MONOGENITY OF CERTAIN BINOMIAL COMPOSITIONS ⋮ Square-free OM computation of global integral bases ⋮ On the index divisors and monogenity of number fields defined by x ⁵ + ax ³ + b ⋮ Triangular bases of integral closures ⋮ A note on monogenity of certain pure number fields defined by \(x^{p^r} - a\) with non-square-free parameter ⋮ On index divisors and monogenity of certain number fields defined by \(x^{12}+ax^m+b\) ⋮ Valuations with an infinite limit-depth ⋮ On the equivalence of types ⋮ Residual ideals of MacLane valuations ⋮ Computation of residual polynomial operators of inductive valuations ⋮ Defectless polynomials over Henselian fields and inductive valuations ⋮ Valuative trees over valued fields

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