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math.NT2003
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…
math.NT2003
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.