Perturbing Eisenstein polynomials over local fields

DOI10.5802/jtnb.1045zbMath1441.11294arXiv1701.01978OpenAlexW2963790682WikidataQ128728730 ScholiaQ128728730MaRDI QIDQ5223361

Kevin Keating

Publication date: 17 July 2019

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01978

zbMATH Keywords

partitionslocal fieldsdigraphssymmetric polynomialsramificationEisenstein polynomialsindices of inseparability

Mathematics Subject Classification ID

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

Related Items (1)

Extensions of local fields given by 3-term Eisenstein polynomials

Cites Work

• Lyndon words and transition matrices between elementary, homogeneous and monomial symmetric functions
• New numerical invariants for totally ramified extensions of local fields
• A database of local fields
• Extensions of local fields and elementary symmetric polynomials
• Arithmetical properties of function fields (II). The generalized Schur problem
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