Integral Iwasawa theory of Galois representations for non-ordinary primes
K Büyükboduk, A Lei - Mathematische Zeitschrift, 2017 - Springer
In this paper, we study the Iwasawa theory of a motive whose Hodge–Tate weights are 0 or
1 (thence in practice, of a motive associated to an abelian variety) at a non-ordinary prime …
1 (thence in practice, of a motive associated to an abelian variety) at a non-ordinary prime …
Iwasawa theory and F-analytic Lubin-Tate (ϕ, Γ)-modules
L Berger, L Fourquaux - Doc. Math, 2017 - content.ems.press
Let K be a finite extension of Qp. We use the theory of (ϕ, Γ)-modules in the Lubin-Tate
setting to construct some corestriction-compatible families of classes in the cohomology of V …
setting to construct some corestriction-compatible families of classes in the cohomology of V …
On the asymptotic growth of Bloch–Kato–Shafarevich–Tate groups of modular forms over cyclotomic extensions
On the Asymptotic Growth of Bloch–Kato–Shafarevich–Tate Groups of Modular Forms Over
Cyclotomic Extensions Page 1 Canad. J. Math. Vol. ( ), pp. – http://dx.doi.org/. /CJM-- -x ©Canadian …
Cyclotomic Extensions Page 1 Canad. J. Math. Vol. ( ), pp. – http://dx.doi.org/. /CJM-- -x ©Canadian …
Euler systems with local conditions
D Loeffler, SL Zerbes - … of Iwasawa Theory—The Centennial of K …, 2017 - projecteuclid.org
Euler systems are certain norm-compatible families of cohomology classes, which play a key
role in studying the arithmetic of Galois representations. We briefly survey the known Euler …
role in studying the arithmetic of Galois representations. We briefly survey the known Euler …
Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions
A Lei - Tohoku Mathematical Journal, Second Series, 2017 - jstage.jst.go.jp
In this paper, we study the Tamagawa numbers of a crystalline representation over a tower
of cyclotomic extensions under certain technical conditions on the representation. In …
of cyclotomic extensions under certain technical conditions on the representation. In …
Main conjectures for higher rank nearly ordinary families--I
K Büyükboduk, T Ochiai - arXiv preprint arXiv:1708.04494, 2017 - arxiv.org
In this article, we present the first half of our project on the Iwasawa theory of higher rank
Galois deformations over deformations rings of arbitrary dimension. We develop a theory of …
Galois deformations over deformations rings of arbitrary dimension. We develop a theory of …