2 papers
math.AG2025
Point Counting on Igusa Varieties for function fields
Paul Hamacher, Wansu Kim
Igusa varieties over the special fibre of Shimura varieties have demonstrated many applications to the Langlands program via Mantovan's formula and Shin's point counting method. In…
math.NT2025
On a refinement of the Birch and Swinnerton-Dyer Conjecture in positive characteristic
David Burns, Mahesh Kakde, Wansu Kim
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 congruen…