Higher explicit reciprocity laws

DOI10.2307/1971143zbMath0378.12006OpenAlexW2332436483WikidataQ116141962 ScholiaQ116141962MaRDI QIDQ1246450

Andrew Wiles

Publication date: 1978

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971143

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Class field theory (11R37) Formal groups, (p)-divisible groups (14L05) Class field theory; (p)-adic formal groups (11S31)

Related Items (29)

Explicit local reciprocity for tame extensions ⋮ The explicit reciprocity law in local class field theory ⋮ Algebraic number fields ⋮ Local units, elliptic units, Heegner points and elliptic curves ⋮ An Introduction to p-Adic Hodge Theory ⋮ Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication ⋮ The explicit reciprocity law and the cohomology of Fontaine-Messing ⋮ On explicit reciprocity laws for the local Carlitz-Kummer symbols ⋮ The norm residue symbol for higher local fields ⋮ Explicit reciprocity laws for higher local fields ⋮ Division values in local fields ⋮ ON LOCAL FIELDS GENERATED BY DIVISION VALUES OF FORMAL DRINFELD MODULES ⋮ On the Iwasawa theory of CM fields for supersingular primes ⋮ Explicit reciprocity laws for formal Drinfeld modules ⋮ On 𝑝-adic families of special elements for rank-one motives ⋮ Bloch-Kato conjecture and Main Conjecture of Iwasawa theory for Dirichlet characters ⋮ The ``main conjectures of Iwasawa theory for imaginary quadratic fields ⋮ \(p\)-adic \(L\)-functions and rational points on elliptic curves with complex multiplication ⋮ The theory of Coleman power series for 𝐾₂ ⋮ Explicit reciprocity law for Lubin-Tate formal groups ⋮ On the conjecture of Birch and Swinnerton-Dyer ⋮ Anticyclotomic \(p\)-ordinary Iwasawa theory of elliptic modular forms ⋮ Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules ⋮ Continuous functions on discrete valuation rings ⋮ Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer ⋮ Residue properties of certain quadratic units ⋮ The dilogarithm and the norm residue symbol ⋮ Coates–Wiles Homomorphisms and Iwasawa Cohomology for Lubin–Tate Extensions ⋮ Exceptional zero formulae and a conjecture of Perrin-Riou

This page was built for publication: Higher explicit reciprocity laws