p-adic Tate conjectures and abeloid varieties
Appears in collection : Tropical Geometry, Berkovich Spaces, Arithmetic D-Modules and p-adic Local Systems
We study Tate-type conjectures over p-adic fields and in particular, a conjecture of Raskind for smooth and projective varieties over p-adic fields that have totally degenerate reduction. In the case of abeloid varieties, we translate Raskind's conjecture into a question about filtered (?, N )-modules and use this to construct counter-examples. This is joint work with Oliver Gregory,
