Bloch-Kato conjecture and Main Conjecture of Iwasawa theory for Dirichlet characters

DOI10.1215/S0012-7094-03-11931-6zbMath1044.11095arXivmath/0101071OpenAlexW1978834359WikidataQ123018562 ScholiaQ123018562MaRDI QIDQ1428772

Guido Kings, Annette Huber-Klawitter

Publication date: 18 May 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101071

Mathematics Subject Classification ID

Iwasawa theory (11R23) Polylogarithms and relations with (K)-theory (11G55) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

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Equivariant Main Conjecture, Fitting ideals and annihilators in Iwasawa theory, On the tamagawa number conjecture for hecke characters, Les nombres de Tamagawa locaux et la conjecture de Bloch et Kato pour les motifs sur un corps abélien, Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture, Euler systems and the Bloch-Kato conjecture for automorphic Galois representations, On 𝑝-adic families of special elements for rank-one motives, The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields, Isotypical indices of cyclotomic elements, The Bloch-Kato conjecture on special values of \(L\)-functions. A survey of known results., On the equivariant main conjecture for imaginary quadratic fields, On the p‐adic Stark conjecture at s=1 and applications, Leading terms of Artin L-series at negative integers and annihilation of higher K-groups, Polylogarithm for families of commutative group schemes, A cohomological Tamagawa number formula, The Tamagawa number conjecture of adjoint motives of modular forms, Trivial zeros of -adic -functions at near-central points, Symmetric Square L-Functions and Shafarevich-Tate Groups, Annihilating wild kernels, Étale cohomology, cofinite generation, and \(p\)-adic \(L\)-functions, Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces, Weil-étale cohomology and zeta-values of proper regular arithmetic schemes, On the \(p\)-adic Beilinson conjecture and the equivariant Tamagawa number conjecture, Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic 𝐾-theory, Hyperbolic tessellations and generators of for imaginary quadratic fields, Generalized Beilinson Elements and Generalized Soulé Characters, Congruences of local origin and automorphic induction, On Equivariant Characteristic Ideals of Real Classes

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