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math.AG2021
Pontryagin duality for varieties over -adic fields
Thomas H. Geisser, Baptiste Morin
We define cohomological complexes of locally compact abelian groups associated with varieties over -adic fields and prove a duality theorem under some assumption. Our duality ta…
math.AG2021
On the kernel of the Brauer-Manin pairing
Thomas H. Geisser, Baptiste Morin
Let be a regular scheme, flat and proper over the ring of integers of a -adic field, with generic fiber and special fiber . We study the left kern…