N T ] 9 M ay 2 01 8 ON A REFINEMENT OF THE BIRCH AND SWINNERTON-DYER CONJECTURE IN POSITIVE CHARACTERISTIC

@inproceedings{Burns2018NT,
  title={N T ] 9 M ay 2 01 8 ON A REFINEMENT OF THE BIRCH AND SWINNERTON-DYER CONJECTURE IN POSITIVE CHARACTERISTIC},
  author={David Burns and Mahesh Kakde and WANSU KIM},
  year={2018}
}
We formulate a refined version of the Birch and Swinnerton Dyer conjecture for abelian varieties over global function fields. This refinement incorporates both families of congruences between the leading terms of Artin-Hasse-Weil L-series and also strong restrictions on the Galois structure of natural Selmer complexes and constitutes a precise analogue for… CONTINUE READING