2 papers
math.AG2025
Comparison of different Tate conjectures
Veronika Ertl, Timo Keller, Yanshuai Qin
For an abelian variety over a finitely generated field of characteristic , we prove that the algebraic rank of is at most a suitably defined analytic rank. Moreo…
math.AG2025
Berthelot's conjecture via homotopy theory
Veronika Ertl, Alberto Vezzani
We use motivic methods to give a quick proof of Berthelot's conjecture stating that the push-forward map in rigid cohomology of the structural sheaf along a smooth and proper map h…