Okutsu frames of irreducible polynomials over henselian fields
| Autor: | Alberich-Carramiñana, Maria, Guàrdia, Jordi, Roé, Joaquím, Nart, Enric |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | For a henselian valued field $(K,v)$ we establish a complete parallelism between the arithmetic properties of irreducible polynomials $F\in K[x]$, encoded by their Okutsu frames, and the valuation-theoretic properties of their induced valuations $v_F$ on $K[x]$, encoded by their MacLane-Vaqui\'e chains. This parallelism was only known for defectless irreducible polynomials. Comment: arXiv admin note: text overlap with arXiv:2107.09813 |
| Databáze: | arXiv |
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