Related to:
Existence of simple Jacobian varieties of genus g with rank at least 4g + 5

1. 

   Finiteness results for modular curves of genus at least 2
2. 

   Local-global principles for torsors over arithmetic curves
3. 2 = 3 cover">

   The Tate Conjecture for a family of surfaces of general type with p_g = q = 1 and K² = 3
4. 

   Limits of Galois representations in fundamental groups along maximal degeneration of marked curves, I
5. 

   Constructing curves with high rank via symmetry