Key polynomials over valued fields

• Autores: Enric Nart i Viñals
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 64, Nº 1, 2020, págs. 195-232
• Idioma: inglés
• DOI: 10.5565/publmat6412009
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• Resumen

  • Let K be a field. For any valuation µ on K[x] admitting key polynomials we determine the structure of the whole set of key polynomials in terms of a fixed key polynomial of minimal degree. We deduce a canonical bijection between the set of µ-equivalence classes of key polynomials and the maximal spectrum of the subring of elements of degree zero in the graded algebra of µ.