Add to ORKGThis is a twin article of [H14b], where we study the projective limit of the Mordell–Weil groups (called pro Λ-MW groups) of modular Jacobians of p-power level. We prove a control theorem of an ind-version of theK-rational Λ-MW group for a number fieldK. In addition, we study its p-adic closure in the group of Kp-valued points of the modular Jacobians for a p-adic completion Kp for a prime p|p of K. As a consequence, if Kp = Qp, we give an exact formula for the rank of the ordinary/co-ordinary part of the closure
We consider the generalised Jacobian $J_{0}(N)_{\mathbf{m}}$ of the modular curve $X_{0}(N)$ of leve...
New numerical examples about capitulation and Conjecture 4.1 -- Other improvementsLet k be a number ...
Let k be the algebraic closure of the field with q elements. We build upon recent work of Ulmer and ...
Abstract. The (pro) Λ-MW group is a projective limit of Mordell–Weil groups over a number field k (m...
We examine the $p$-adically completed Mordell-Weil groups $\pJ(K)$ and $\calpJQ(K)$, where $K$ is a ...
Abstract. We prove a p-adic analogue of Wüstholz’s analytic subgroup theorem. We apply this result ...
In this paper, we determine all modular Jacobian varieties $J_1(M,MN)$ over the number field $\mathb...
Let E/Q be an elliptic curve, p > 3 a good ordinary prime for E, and K∞ a p-adic Lie extension of a ...
We study the approach of N.M. Katz to define $p$-adic modular forms, first as sections of tensor pow...
This paper is dedicated to Bernard Dwork who has been a friend and an inspiration for many years. Le...
73 pages. Many improvements, developments and minor corrections. New numerical examplesWe examine th...
We prove several results about moduli spaces of p-divisible groups such as Rapoport–Zink spaces. Our...
13p. To appear in Afrika MathematikaIn 2007, B. Poonen (unpublished) studied the $p$-adic closure of...
Abstract. We set up the basic theory of P-adic modular forms over certain unitary PEL Shimura curves...
Let A/k denote an abelian variety defined over a number field k with good ordinary reduction at all ...
We consider the generalised Jacobian $J_{0}(N)_{\mathbf{m}}$ of the modular curve $X_{0}(N)$ of leve...
New numerical examples about capitulation and Conjecture 4.1 -- Other improvementsLet k be a number ...
Let k be the algebraic closure of the field with q elements. We build upon recent work of Ulmer and ...
Abstract. The (pro) Λ-MW group is a projective limit of Mordell–Weil groups over a number field k (m...
We examine the $p$-adically completed Mordell-Weil groups $\pJ(K)$ and $\calpJQ(K)$, where $K$ is a ...
Abstract. We prove a p-adic analogue of Wüstholz’s analytic subgroup theorem. We apply this result ...
In this paper, we determine all modular Jacobian varieties $J_1(M,MN)$ over the number field $\mathb...
Let E/Q be an elliptic curve, p > 3 a good ordinary prime for E, and K∞ a p-adic Lie extension of a ...
We study the approach of N.M. Katz to define $p$-adic modular forms, first as sections of tensor pow...
This paper is dedicated to Bernard Dwork who has been a friend and an inspiration for many years. Le...
73 pages. Many improvements, developments and minor corrections. New numerical examplesWe examine th...
We prove several results about moduli spaces of p-divisible groups such as Rapoport–Zink spaces. Our...
13p. To appear in Afrika MathematikaIn 2007, B. Poonen (unpublished) studied the $p$-adic closure of...
Abstract. We set up the basic theory of P-adic modular forms over certain unitary PEL Shimura curves...
Let A/k denote an abelian variety defined over a number field k with good ordinary reduction at all ...
We consider the generalised Jacobian $J_{0}(N)_{\mathbf{m}}$ of the modular curve $X_{0}(N)$ of leve...
New numerical examples about capitulation and Conjecture 4.1 -- Other improvementsLet k be a number ...
Let k be the algebraic closure of the field with q elements. We build upon recent work of Ulmer and ...