58 citations · 99 across the 16 of their papers we have counts for
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math.AG2016
On the distribution of the Picard ranks of the reductions of a surface
Edgar Costa, Andreas-Stephan Elsenhans, Jörg Jahnel
We report on our results concerning the distribution of the geometric Picard ranks of surfaces under reduction modulo various primes. In the situation that $\rk \Pic S_{\overl…
math.NT2016★ 15 cited
Traces, high powers and one level density for families of curves over finite fields
Alina Bucur, Edgar Costa, Chantal David +2
The zeta function of a curve over a finite field may be expressed in terms of the characteristic polynomial of a unitary matrix . We develop and present a new technique to…