Reciprocity laws \`a la Iwasawa-Wiles

zbMath1235.11106arXiv0810.0229MaRDI QIDQ3400692

Ignazio Longhi, Francesc Bars Cortina

Publication date: 5 February 2010

Full work available at URL: https://arxiv.org/abs/0810.0229

zbMATH Keywords

local fieldlogarithmic derivativeKummer symbolreciprocity law.

Mathematics Subject Classification ID

Galois cohomology (11S25) (p)-adic theory, local fields (11F85) Drinfel'd modules; higher-dimensional motives, etc. (11G09) (p)-adic cohomology, crystalline cohomology (14F30) Symbols and arithmetic ((K)-theoretic aspects) (19F15) Class field theory; (p)-adic formal groups (11S31) (K)-theory of local fields (11S70)

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Explicit reciprocity laws for formal Drinfeld modules ⋮ Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules

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