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The Bloch-Kato conjecture for adjoint motives of modular forms

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Publication:5952999
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DOI10.4310/MRL.2001.v8.n4.a4zbMath1022.11023OpenAlexW2046783835WikidataQ122956575 ScholiaQ122956575MaRDI QIDQ5952999

Li Guo, Fred Diamond, Matthias Flach

Publication date: 2 November 2003

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2001.v8.n4.a4


zbMATH Keywords

Galois groupBloch-Kato conjectureFontaine-Mazur conjecture\(\ell\)-adic and de Rham realizations\(\lambda\)-partcomparison isomorphismTamagawa number conjectureTaylor-Wiles construction


Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)


Related Items

Congruences between Selmer groups ⋮ On the unobstructedness of the deformation problems of residual modular representations ⋮ Extensions of abelian varieties defined over a number field ⋮ Twisted adjoint \(L\)-values, dihedral congruence primes and the Bloch-Kato conjecture ⋮ SYMMETRIC SQUARE L-FUNCTIONS AND SHAFAREVICH–TATE GROUPS, II



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