Quadratic Exercises in Iwasawa Theory

DOI10.1093/imrn/rnn151zbMath1193.11103OpenAlexW2000477828MaRDI QIDQ3619709

Haruzo Hida

Publication date: 9 April 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/49879e659dc4bd3b9c3757dfa9c276cc8eeaba7b

zbMATH Keywords

Iwasawa theory\(p\)-adic \(L\)-functionHecke algebraHilbert modular formCM field\(p\)-adic Rankin productadjoint square \(L\)-valueanticyclotomic main conjecture

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Galois representations (11F80) Iwasawa theory (11R23) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (10)

Class groups and local indecomposability for non-CM forms ⋮ Coleman-adapted Rubin–Stark Kolyvagin systems and supersingular Iwasawa theory of CM abelian varieties ⋮ Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields ⋮ Image of \(\varLambda \)-adic Galois representations modulo \(p\) ⋮ \(\mathfrak p\)-rigidity and Iwasawa \(\mu\)-invariants ⋮ p-adic L-functions via local–global interpolation: the case of ⋮ Adjoint Selmer groups of automorphic Galois representations of unitary type ⋮ Constancy of adjoint \(\mathcal L\)-invariant ⋮ On primitive \(p\)-adic Rankin-Selberg \(L\)-functions ⋮ The universal \(p\)-adic Gross-Zagier formula

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