15 citations · 57 across the 25 of their papers we have counts for
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math.NT2006★ 1 cited
Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields
Douglas Ulmer
Our goal in this note is to give a number of examples of abelian varieties over function fields k(t) which have bounded ranks in towers of extensions such as k(t^{1/d}) for varying…
math.NT2006★ 14 cited
L-functions with large analytic rank and abelian varieties with large algebraic rank over function fields
Douglas Ulmer
The goal of this paper is to explain how a simple but apparently new fact of linear algebra together with the cohomological interpretation of L-functions allows one to produce many…