Systèmes d'Euler \(p\)-adiques et théorie d'Iwasawa. (\(p\)-adic Euler systems and Iwasawa theory.)
From MaRDI portal
Publication:1272254
DOI10.5802/aif.1655zbMath0930.11078OpenAlexW2026576169MaRDI QIDQ1272254
Publication date: 29 November 1998
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_5_1231_0
Iwasawa moduleLeopoldt conjecture\(p\)-adic Euler systemsapplications of Chebotarev's theoremdivisibility of characteristic seriesKolyvagin's derivationtrace relations in cyclotomic extensions
Galois cohomology (12G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)
Related Items
Controlling Selmer groups in the higher core rank case ⋮ Refined class number formulas for \(\mathbb{G}_m\) ⋮ Les nombres de Tamagawa locaux et la conjecture de Bloch et Kato pour les motifs sur un corps abélien ⋮ Coleman-adapted Rubin–Stark Kolyvagin systems and supersingular Iwasawa theory of CM abelian varieties ⋮ On the structure of the module of Euler systems for a \(p\)-adic representation ⋮ Fitting ideals of isotypic parts of even K-groups ⋮ Iwasawa theory for Rankin-Selberg products of \(p\)-nonordinary eigenforms ⋮ On the Iwasawa theory of CM fields for supersingular primes ⋮ Bloch-Kato conjecture and Main Conjecture of Iwasawa theory for Dirichlet characters ⋮ On the \(p\)-adic Birch, Swinnerton-Dyer conjecture for non-semistable reduction ⋮ Euler systems and special units ⋮ Circular distributions and Euler systems ⋮ Euler system for Galois deformations. ⋮ Tamagawa defect of Euler systems ⋮ On higher fitting ideals of certain Iwasawa modules associated with Galois representations and Euler systems ⋮ Euler systems with local conditions ⋮ Euler systems for Rankin-Selberg convolutions of modular forms ⋮ Stickelberger elements and Kolyvagin systems ⋮ Stark units and the main conjectures for totally real fields ⋮ On Euler systems for adjoint Hilbert modular Galois representations ⋮ Specialization method in Krull dimension two and Euler system theory over normal deformation rings ⋮ Rank-two Euler systems for symmetric squares ⋮ Special issues in honour of Bernadette Perrin-Riou. I ⋮ Iwasawa theory of automorphic representations of \(\mathrm{GL}_{2n}\) at non-ordinary primes ⋮ \(K\)-theory of curves over number fields ⋮ A higher rank Euler system for Gm over a totally real field
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On subgroups of \(GL_ n(F_ p)\)
- On the main conjecture of Iwasawa theory for imaginary quadratic fields
- Kummer theory on extensions of Abelian varieties by tori
- The ``main conjectures of Iwasawa theory for imaginary quadratic fields
- Iwasawa theory and \(p\)-adic heights
- Relations between \(K_2\) and Galois cohomology
- Cohomology of finite groups of Lie type. I
- Iwasawa theory of \(p\)-adic representations over a local field
- A finiteness theorem for the symmetric square of an elliptic curve
- On a construction of \(p\)-units in abelian fields
- A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
- \(p\)-adic analytic groups
- Stark units and Kolyvagin's „Euler Systems“
- Cohomology Theory of Lie Groups and Lie Algebras
- Cohomology of Group Extensions