Abstract
For an algebraic torus S, Blinstein and Merkurjev have given an estimate of 3-rd unramified cohomology H¯nr3(F(S),Q/Z(2)) obtained from a flasque resolution of S. Based on their work, for the norm one torus W=RK/F(1)Gm with K/F abelian, we compute the 3-rd unramified cohomology H¯nr3(F(W),Q/Z(2)).
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