34 citations · 84 across the 16 of their papers we have counts for
7 papers · 1 filter
A Mordell-Weil theorem for abelian varieties over fields generated by torsion points
Michael Larsen
If A is an abelian variety over a number field K, and L is a (possibly infinite) extension of K generated by torsion points of A, then the quotient of A(L) by its torsion subgroup…
Open conditions for infinite multiplicity eigenvalues on elliptic curves
Bo-Hae Im, Michael Larsen
Let E be an elliptic curve defined over a number field K, V the complexification of the group of rational points of E over an algebraic closure L of K, and G the Galois group Gal(L…
Converging sequences of p-adic Galois representations and density theorems
Joel Bellaiche, Gaetan Chenevier, Chandrashekhar Khare +1
We consider limits of p-adic Galois representations, study different notions of convergence for such representations, and prove Cebotarev-type density theorems for them.
Transcendental l-adic Galois representations
Chandrashekhar Khare, Michael Larsen, Ravi Ramakrishna
We consider continuous representations of the Galois group G of a number field K taking values in the completion C of an algebraic closure A of the field of l-adic numbers. We give…
Constructing semisimple p-adic Galois representations with prescribed properties
Chandrashekhar Khare, Michael Larsen, Ravi Ramakrishna
In this paper we show that two dimensional (mod p) Galois representations satisfying mild hypotheses can be lifted to p-adic Galois representations ramified at infinitely many prim…
Weak approximation for linear systems of quadrics
Bo-Hae Im, Michael Larsen
We give local conditions at the infinite places of a number field K ensuring that the intersection of n quadrics in projective N-space over K, N >> n, satisfies weak approximation.