Iwasawa theory and \(p\)-adic Hodge theory

DOI10.2996/kmj/1138039701zbMath0798.11050OpenAlexW2048205489MaRDI QIDQ1261816

Kazuya Kato

Publication date: 7 September 1993

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

Full work available at URL: https://doi.org/10.2996/kmj/1138039701

zbMATH Keywords

special values of \(L\)-series\(p\)-adic Hodge theoryanalytic zeta elementGalois module structuresIwasawa main conjecture for motivespartial \(L\)- functions

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Generalizations (algebraic spaces, stacks) (14A20)

Related Items

On the tamagawa number conjecture for hecke characters, Motivic \(L\)-functions and Galois module structures, On the structure of the module of Euler systems for a \(p\)-adic representation, On Iwasawa theory, zeta elements for \(\mathbb G_m\), and the equivariant Tamagawa number conjecture, On non-commutative twisting in étale and motivic cohomology, The Eisenstein ideal for weight \(k\) and a Bloch-Kato conjecture for tame families, The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields, A \(p\)-adic Waldspurger formula and the conjecture of Birch and Swinnerton-Dyer, The Bloch-Kato conjecture on special values of \(L\)-functions. A survey of known results., Bloch-Kato conjecture and Main Conjecture of Iwasawa theory for Dirichlet characters, The Tamagawa number conjecture of adjoint motives of modular forms, Trivial zeros of -adic -functions at near-central points, On the Tamagawa number conjecture for CM elliptic curves defined over \({\mathbb Q}\), \(p\)-adic properties of motivic fundamental lines

Cites Work

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