On a pairing for algebraic tori

A. Merkurjev

Mathematische Nachrichten, 2019, vol. 292, issue 10, 2283-2293

Abstract: Let T be an algebraic torus over a field F. There is a pairing between the groups of torsors for the torus T and its dual with values in the third Galois cohomology group over all field extensions of F. We study the kernel of this pairing.

Date: 2019
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