论文信息 - Okutsu frames of irreducible polynomials over henselian fields

Okutsu frames of irreducible polynomials over henselian fields

For a henselian valued field (K, v) we establish a complete parallelism between the arithmetic properties of irreducible polynomials F ∈ K[x], encoded by their Okutsu frames, and the valuation-theoretic properties of their induced valuations vF on K[x], encoded by their MacLane-Vaquié chains. This parallelism was only known for defectless irreducible polynomials.

Enric Nart | Maria Alberich-Carraminana | Jordi Guardia | Joaqu'im Ro'e

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