Number of points on abelian and Jacobian varieties over finite fields
  We give upper and lower bounds on the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties. We also determine exact formulas for the maximum and minimum number of points on Jacobian surfaces. 
Yves Aubry (IML, IMATH), Safia Haloui (IML), Gilles Lachaud (IML)
math.AG