An ultrametric space of Eisenstein polynomials and ramification theory

DOI10.1090/S0002-9939-2012-11399-1zbMath1290.11157arXiv1105.5221MaRDI QIDQ2846839

Manabu Yoshida

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5221

zbMATH Keywords

Eisenstein polynomialsnon-archimedean metric

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Polynomials (11S05)

Related Items (3)

A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields ⋮ EISENSTEIN POLYNOMIALS DEFINING CYCLIC p-ADIC FIELDS WITH MINIMAL WILD RAMIFICATION ⋮ Eisenstein polynomials defining Galois dihedral \(p\)-adic fields of degree \(2p\)

Cites Work

• There are no abelian varieties over \(\mathbb Z\).
• On the computation of all extensions of a 𝑝-adic field of a given degree
• Ramification of local fields and Fontaine's property (Pm)
• Fontaine's property (Pm) at the maximal ramification break
• Unnamed Item
• Unnamed Item

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