Defectless polynomials over henselian fields and inductive valuations

Nathália Moraes de Oliveira, Enric Nart

Research output: Contribution to journalArticleResearch

6 Citations (Scopus)


© 2019 Elsevier Inc. Let (K,v) be a henselian valued field. Let Pdless⊂K[x] be the set of monic, irreducible polynomials which are defectless and have degree greater than one. For a certain equivalence relation ≈ on Pdless, we establish a canonical bijection M→Pdless/≈, where M is a discrete MacLane space, constructed in terms of inductive valuations on K[x] extending v.
Original languageEnglish
Pages (from-to)270-307
Number of pages38
JournalJournal of Algebra
Publication statusPublished - 1 Jan 2020


  • Defectless polynomial
  • Graded algebra of a valuation
  • Henselian field
  • Inductive valuation
  • Key polynomial
  • MacLane chain
  • Newton polygon
  • Residual polynomial operator


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