论文标题
标准一个圆环的3-RD未经调查的共同体学
The 3-rd unramified cohomology for norm one torus
论文作者
论文摘要
对于代数圆环$ s $，Blinstein和Merkurjev的估计为$ 3 $ - 未建立的共同体学$ \ bar {h}^3_ {nr}（f（f（s），\ Mathbb Q/\ Mathbb Z（2））$，从$ s $ s $ s $ s $ s $ s $ s $ s $ s $ s $ s的flasque Colution获得。基于他们的工作，对于规范，$ w = r_ {k/f}^{（1）} \ mathbb {g} _m $带有$ k/f $ abelian，我们计算$ 3 $ th $ 3 $ th normified cohomology $ \ bar {h} h}
For an algebraic torus $S$, Blinstein and Merkurjev have given an estimate of $3$-th unramified cohomology $\bar{H}^3_{nr}(F(S),\mathbb Q/\mathbb Z(2))$ obtained from a flasque resolution of $S$. Based on their work, for the norm one torus $W=R_{K/F}^{(1)}\mathbb{G}_m$ with $K/F$ abelian, we compute the $3$-th unramified cohomology $\bar{H}^3_{nr}(F(W),\mathbb Q/\mathbb Z(2))$.
