New numerical invariants for totally ramified extensions of local fields

DOI10.1006/jnth.1996.0092zbMath0876.11053OpenAlexW2032800926MaRDI QIDQ1920902

Volker Heiermann

Publication date: 26 November 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0092

zbMATH Keywords

formal power seriesHasse-Herbrand functioninseparability indicestotally ramified extensions of local fields

Mathematics Subject Classification ID

Ramification and extension theory (11S15)

Related Items (9)

Indices of inseparability for elementary abelian \(p\)-extensions ⋮ A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields ⋮ Extensions of local fields given by 3-term Eisenstein polynomials ⋮ Indices of inseparability and refined ramification breaks ⋮ On the computation of all extensions of a 𝑝-adic field of a given degree ⋮ Indices of inseparability in towers of field extensions ⋮ Extensions of local fields and elementary symmetric polynomials ⋮ Perturbing Eisenstein polynomials over local fields ⋮ Galois scaffolds and semistable extensions

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