37 citations · 73 across the 9 of their papers we have counts for
9 papers · 1 filter
Zeta morphisms for rank two universal deformations
Kentaro Nakamura
In this article, we construct zeta morphisms for the universal deformations of odd absolutely irreducible two dimensional mod p Galois representations satisfying some mild assumpti…
Remarks on Kato's Euler systems for elliptic curves with additive reduction
Chan-Ho Kim, Kentaro Nakamura
Extending the former work for the good reduction case, we provide a numerical criterion to verify a large portion of the "Iwasawa main conjecture without -adic -functions" fo…
Local epsilon-isomorphisms for rank two p-adic representations of Gal(overline{Q}_p/Q_p) and a functional equation of Kato's Euler system
Kentaro Nakamura
In this article, we prove (many parts of) the rank two case of the Kato's local epsilon-conjecture using the Colmez's p-adic local Langlands correspondence for GL_2(Q_p). We show t…
A generalization of Kato's local epsilon-conjecture for (phi,Gamma)-modules over the Robba ring
Kentaro Nakamura
The aim of this article is to generalize Kato's (commutative) p-adic local epsilon-conjecture [Ka93b] for families of (phi,Gamma)-modules over the Robba ring. In particular, we pro…
Iwasawa theory of de Rham (ϕ,Γ)-modules over the Robba rings
Kentaro Nakamura
The aim of this article is to study Bloch-Kato's exponential map and Perrin-Riou's "big" exponential map purely in terms of (ϕ,Γ)-modules over the Robba ring. We first generalize t…
Zariski density of crystalline representations for any p-adic field
Kentaro Nakamura
The aim of this article is to prove Zariski density of crystalline representations in the rigid analytic space associated to the universal deformation ring of a d-dimensional mod p…
Deformations of trianguline B-pairs and Zariski density of two dimensional crystalline representations
Kentaro Nakamura
The aim of this article is to study deformation theory of trianguline B-pairs for any p-adic field. For benign B-pairs, a special good class of trianguline B-pairs, we prove a main…
Deformations of trianguline B-pairs
Kentaro Nakamura
The aim of this article is to study deformation theory of trianguline B-pairs for any p-adic field. For benign B-pairs, a special good class of trianguline B-pairs, we prove a main…
Classification of two dimensional split trianguline representations of -adic fields
Kentaro Nakamura
The aim of this paper is to classify two dimensional split trianguline representations of -adic fields. This is a generalization of a result of Colmez who classified two dimensi…