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On a pairing for algebraic tori
Author(s) -
Merkurjev A.
Publication year - 2019
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900009
Subject(s) - pairing , mathematics , torus , galois cohomology , kernel (algebra) , pure mathematics , field (mathematics) , algebraic number , algebra over a field , galois group , mathematical analysis , geometry , physics , superconductivity , quantum mechanics
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.