Higher criteria for the regularity of a one-dimensional local field

DOI10.1134/S1063454122020145MaRDI QIDQ2674745

V. M. Polyakov, P. N. Pital', Sergei Vostokov

Publication date: 14 September 2022

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

formal groupLubin-Tate grouplocal class field theory

Mathematics Subject Classification ID

Class field theory; (p)-adic formal groups (11S31)

Cites Work

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• Formal modules for generalized Lubin-Tate groups
• The Hilbert symbol of polynomial formal groups
• An explicit form of the Hilbert pairing for the relative formal Lubin-Tate groups.
• Formal modules for relative formal Lubin-Tate groups
• Regular formal modules in one-dimensional local fields
• Degree of irregularity and regular formal modules in local fields
• On the multiplicative group of cyclic \(p\)-extensions of a local field
• Relative Lubin-Tate Groups
• FORMAL GROUPS AND THE NORM RESIDUE SYMBOL
• Explicit form of the Hilbert symbol for polynomial formal groups

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