Explicit reciprocity law for Lubin-Tate formal groups

DOI10.1007/s10114-005-0663-9zbMath1169.11318OpenAlexW2130591650MaRDI QIDQ2505388

Lei Cao

Publication date: 4 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0663-9

zbMATH Keywords

formal groupsexplicit reciprocity lawKummer map\(\Phi\Gamma\)-module

Mathematics Subject Classification ID

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

Cites Work

• On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
• Division values in local fields
• Higher explicit reciprocity laws
• Appendix: On a theorem of Bloch and Kato (letter to B. Perrin- Riou)
• On Iwasawa theory of crystalline representations
• On explicit formulas for the norm residue symbol
• The dilogarithm and the norm residue symbol
• Sur la cohomologie galoisienne des corps $p$-adiques
• Représentations $p$-adiques potentiellement cristallines
• A new approach to Tate's local duality
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