{ "id": "1903.09134", "version": "v1", "published": "2019-03-21T17:46:57.000Z", "updated": "2019-03-21T17:46:57.000Z", "title": "Invariants of algebraic elements over henselian fields", "authors": [ "Nathália Moraes de Oliveira" ], "categories": [ "math.NT" ], "abstract": "Let (K,v) be a henselian valued field. In this paper, we use Okutsu sequences for monic, irreducible polynomials in K[x], and their relationship with MacLane chains of inductive valuations on K[x], to obtain some results on the computation of invariants of algebraic elements over K.", "revisions": [ { "version": "v1", "updated": "2019-03-21T17:46:57.000Z" } ], "analyses": { "keywords": [ "algebraic elements", "henselian fields", "invariants", "henselian valued field", "okutsu sequences" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }