Iwasawa theory of de Rham -modules over the Robba ring

DOI10.1017/S1474748013000078zbMath1296.11054arXiv1201.6475OpenAlexW2962823901MaRDI QIDQ5396095

Kentaro Nakamura

Publication date: 5 February 2014

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.6475

zbMATH Keywords

\(p\)-adic Hodge theory\Gamma)\)-modules\((\varphiRobba ringBloch-Kato exponentialIwasawa-cohomology

Mathematics Subject Classification ID

Galois cohomology (11S25) (p)-adic theory, local fields (11F85) Galois representations (11F80)

Related Items (17)

Interpolation of generalized Heegner cycles in Coleman families ⋮ Kato's local \(\varepsilon\)-conjecture in dimension 2 ⋮ On the exceptional zeros of 𝑝-non-ordinary 𝑝-adic 𝐿-functions and a conjecture of Perrin-Riou ⋮ An Introduction to p-Adic Hodge Theory ⋮ Rankin-Eisenstein classes in Coleman families ⋮ A generalization of Kato's local \(\varepsilon\)-conjecture for \((\varphi,\Gamma)\)-modules over the Robba ring ⋮ Compairing categories of Lubin-Tate \((\varphi_L,\Gamma_L)\)-modules ⋮ On extra zeros of 𝑝-adic Rankin–Selberg 𝐿-functions ⋮ Iwasawa theory for symmetric powers of CM modular forms at nonordinary primes. II. ⋮ de Rham \((\varphi,\Gamma)\)-modules and \(p\)-adic \(L\) functions ⋮ Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou ⋮ Interpolation of Beilinson-Kato elements and \(p\)-adic \(L\)-functions ⋮ Bounding Selmer Groups for the Rankin–Selberg Convolution of Coleman Families ⋮ COHOMOLOGY AND OVERCONVERGENCE FOR REPRESENTATIONS OF POWERS OF GALOIS GROUPS ⋮ Wach Modules, Regulator Maps, and $\varepsilon$-Isomorphisms in Families ⋮ On Extra Zeros of p-Adic L-Functions: The Crystalline Case ⋮ The p-Adic Height Pairing on Abelian Varieties at Non-ordinary Primes

Cites Work

• Construction of \((\phi,\Gamma)\)-modules: \(p\)-adic representations and \(B\)-pairs
• Iwasawa theory and \(p\)-adic heights
• Overconvergent \(p\)-adic representations
• Iwasawa theory of de Rham representations of a local field
• Iwasawa theory of \(p\)-adic representations over a local field
• Algebras of \(p\)-adic distributions and admissible representations
• On Iwasawa theory of crystalline representations
• \(p\)-adic representations and differential equations
• Hasse-Arf filtrations and \(p\)-adic monodromy.
• Analogue \(p\)-adique du théorème de Turrittin et le théorème de la monodromie \(p\)-adique.
• A \(p\)-adic local monodromy theorem
• Classification of two-dimensional split trianguline representations ofp-adic fields
• Théorie d’Iwasawa des représentations 𝑝-adiques d’un corps local
• Finiteness theorems for the cohomology of an overconvergent isocrystal on a curve
• Sur la cohomologie galoisienne des corps $p$-adiques
• A new approach to Tate's local duality

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