Add to ORKGAbstract. The (pro) Λ-MW group is a projective limit of Mordell–Weil groups over a number field k (made out of modular Jacobians) with an action of the Iwasawa algebra and the “big” Hecke algebra. We prove a control theorem of the ordinary part of the Λ-MW groups under mild assumptions. We have proven a similar control theorem for the dual completed inductive limit in [H15a]. 1
Abstract. We set up the basic theory of P-adic modular forms over certain unitary PEL Shimura curves...
The purpose of this note is to clarify the relation between bounded and continuous control as it occ...
In this paper, we determine all modular Jacobian varieties $J_1(M,MN)$ over the number field $\mathb...
This is a twin article of [H14b], where we study the projective limit of the Mordell–Weil groups (ca...
Abstract. We define Λ-BT groups as a well controlled ind-Barsotti–Tate groups under the action of th...
We examine the $p$-adically completed Mordell-Weil groups $\pJ(K)$ and $\calpJQ(K)$, where $K$ is a ...
We study the behavior of ordinary parts of the homology modules of modular curves, associated to a d...
We prove a control theorem for Hida’s ordinary Hecke algebra for the primep= 2,thereby establishing ...
International audienceWe give a parametrization by m-adic integers of the limits of Baumslag–Solitar...
Abstract. For a number field F and an odd prime p, we study the “capitulation cokernels ” coker (A′n...
Let Γ PSL 2, , the modular group. The action of Γ on the rational projective line ℚ ℚ ∪ ∞ ...
Let K/k be a Z_p-extension of a number field k with layers k_n. Let i_n,m be the map induced by incl...
Let p be an odd prime. We study the structure of the cyclotomic Greenberg-Selmer group attached to a...
WOS: 000175167200009Let (Z) over cap (+) denote the inverse limit of all finite cyclic groups. Let F...
Abstract We study the arithmetic of abelian varieties over K = k(t) where k is an arbitrary field. T...
Abstract. We set up the basic theory of P-adic modular forms over certain unitary PEL Shimura curves...
The purpose of this note is to clarify the relation between bounded and continuous control as it occ...
In this paper, we determine all modular Jacobian varieties $J_1(M,MN)$ over the number field $\mathb...
This is a twin article of [H14b], where we study the projective limit of the Mordell–Weil groups (ca...
Abstract. We define Λ-BT groups as a well controlled ind-Barsotti–Tate groups under the action of th...
We examine the $p$-adically completed Mordell-Weil groups $\pJ(K)$ and $\calpJQ(K)$, where $K$ is a ...
We study the behavior of ordinary parts of the homology modules of modular curves, associated to a d...
We prove a control theorem for Hida’s ordinary Hecke algebra for the primep= 2,thereby establishing ...
International audienceWe give a parametrization by m-adic integers of the limits of Baumslag–Solitar...
Abstract. For a number field F and an odd prime p, we study the “capitulation cokernels ” coker (A′n...
Let Γ PSL 2, , the modular group. The action of Γ on the rational projective line ℚ ℚ ∪ ∞ ...
Let K/k be a Z_p-extension of a number field k with layers k_n. Let i_n,m be the map induced by incl...
Let p be an odd prime. We study the structure of the cyclotomic Greenberg-Selmer group attached to a...
WOS: 000175167200009Let (Z) over cap (+) denote the inverse limit of all finite cyclic groups. Let F...
Abstract We study the arithmetic of abelian varieties over K = k(t) where k is an arbitrary field. T...
Abstract. We set up the basic theory of P-adic modular forms over certain unitary PEL Shimura curves...
The purpose of this note is to clarify the relation between bounded and continuous control as it occ...
In this paper, we determine all modular Jacobian varieties $J_1(M,MN)$ over the number field $\mathb...