Homology, Homotopy and Applications

Volume 25 (2023)

Number 2

Two theorems on cohomological pairings

Pages: 1 – 20

DOI: https://dx.doi.org/10.4310/HHA.2023.v25.n2.a1


Ambrus Pál (Department of Mathematics, Imperial College, London, United Kingdom)

Tomer M. Schlank (Einstein Institute of Mathematics, Hebrew University of Jerusalem, Israel)


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.


cup product, embedding problem, Brauer–Manin pairing

2010 Mathematics Subject Classification

11R34, 55N10

Received 27 July 2021

Received revised 27 May 2022

Accepted 2 June 2022

Published 27 September 2023