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

Authors

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

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

Abstract

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.

Keywords

cup product, embedding problem, Brauer–Manin pairing

2010 Mathematics Subject Classification

11R34, 55N10

Full Text (PDF format)

Received 27 July 2021

Received revised 27 May 2022

Accepted 2 June 2022

Published 27 September 2023