We give a new, elegant description of the Tate duality pairing as a Brauer–Manin pairing for associated embedding problems and prove a new theorem on the cup product.
Bibliographical noteFunding Information:
The first author was partially supported by the EPSRC grants P19164 and P36794. The second author was partially supported by ISF1588/18 and BSF2018389.
© 2023, International Press. Permission to copy for private use granted.
- Brauer–Manin pairing
- cup product
- embedding problem