Analytic families of finite-slope Selmer groups

J Pottharst - Algebra & Number Theory, 2013 - msp.org
We develop a theory of Selmer groups for analytic families of Galois representations, which
are only assumed “ordinary” on the level of their underlying (φ, Γ)-modules. Our approach …

Wach modules and critical slope p-adic L-functions

D Loeffler, SL Zerbes - Journal für die reine und angewandte …, 2013 - degruyter.com
Abstract We study Kato and Perrin-Riou's critical slope p-adic L-function attached to an
ordinary modular form using the methods of A. Lei, D. Loeffler and SL Zerbes, Wach …

Frobenius modules over multivariate Robba rings

KS Kedlaya - arXiv preprint arXiv:1311.7468, 2013 - arxiv.org
We describe a class of multivariate series rings generalizing the usual Robba ring over a p-
adic field, and give a basic development of phi-modules over such rings. This makes it …

On Perrin-Riou's exponential map and reciprocity laws for (phi, Gamma)-modules

A Riedel - 2013 - archiv.ub.uni-heidelberg.de
Let K/Q_p be a finite Galois extension and D a (phi, Gamma)-module over the Robba ring B
and N_dR (D) its associated p-adic differential equation. In the first part we give a …

Autour des nombres de Tamagawa

A Laurent - 2013 - theses.hal.science
Les nombres de Tamagawa des courbes elliptiques apparaissent dans la formulation de la
conjecture de Birch et Swinnerton-Dyer comme certains facteurs locaux. Bloch et Kato …

[PDF][PDF] zur Erlangung der Doktorwürde der Naturwissenschaftlich-Mathematischen Gesamtfakultät der Ruprecht-Karls-Universität Heidelberg

DMF Ziebell - core.ac.uk
Sei K/Qp eine endliche Galoissche Erweiterung und D ein (ϕ, Γ)-Modul über B† rig, K sowie
NdR (D) die dazu assoziierte p-adische Differentialgleichung. Im ersten Abschnitt definieren …

[PDF][PDF] Applications of Iwasawa Algebras

P Schneider, O Venjakob - 2013 - birs.ca
Let Q be the field of rational numbers and p denote an odd prime number. An elliptic curve E
over a base field F is a nonsingular projective curve of genus one which has an F-rational …

[PDF][PDF] Robba 環上のde Rham $(varphi, Gamma) $-加群の岩澤理論(Algebraic Number Theory and Related Topics 2011)

中村健太郎 - 数理解析研究所講究録別冊, 2013 - repository.kulib.kyoto-u.ac.jp
In this survey paper, we explain the results of the author s article\backslash Iwasawa theory
of de Rham ($\varphi $, $\Gamma $)‐modules over the Robba ring. In § 2, we first explain …