A notion analogous to the discriminant for transcendental elements in certain extensions of local fields

DOI10.4171/RSMUP/41zbMath1458.11168OpenAlexW3026644861MaRDI QIDQ776977

Victor Alexandru, Corneliu Stelian Andronescu, Sever Achimescu

Publication date: 13 July 2020

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/41

zbMATH Keywords

discriminanttranscendental elements\(p\)-adic absolute value

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Algebraic number theory: local fields (11S99) Non-Archimedean valued fields (12J25) Normed fields (12J05) Valued fields (12J10)

Cites Work

• Completions of r.a.t.-valued fields of rational functions
• On the closed subfields of \(C_p\)
• On the structure of the irreducible polynomials over local fields
• Chains of metric invariants over a local field
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