most citedBig symplectic or orthogonal monodromy modulo l

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math.NT2011

Experimental Data for Goldfeld's Conjecture over Function Fields

Salman Baig, Chris Hall

This paper presents empirical evidence supporting Goldfeld's conjecture on the average analytic rank of a family of quadratic twists of a fixed elliptic curve in the function field…

math.NT2008

Non-simple abelian varieties in a family: geometric and analytic approaches

J. Ellenberg, C. Elsholtz, C. Hall +1

Let be a family of abelian varieties over a number field parametrized by a rational coordinate , and suppose the generic fiber of is geometrically simple. For ex…

math.NT2006★ 1 cited

Big symplectic or orthogonal monodromy modulo l

Chris Hall

Let k be a field not of characteristic two and L be a set of almost all rational primes invertible in k. Suppose we have a variety X/k and strictly compatible system {M_ell -> X :…