Unramified cohomology of quadrics, I
Unramified cohomology of quadrics, I
复制标题
二次曲线的无枝上同调，I
DOI：
10.1353/ajm.1998.0029
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发表时间：
1998
影响因子：
1.7
通讯作者：
And R Sujatha
中科院分区：
文献类型：
--
作者：
B. Kahn;M. Rost;And R Sujatha
给定一个特征为≠2的域F上的二次曲面X，我们计算了从F的模2伽罗瓦上同调到F (X)的未分形模2上同调的4次自然映射的核和核。给出了这些结果在实二次曲面和未分枝Witt环上的应用。
Given a quadric X over a field F of characteristic ≠ 2, we compute the kernel and cokernel of the natural map in degree 4 from the mod 2 Galois cohomology of F to the unramified mod 2 cohomology of F ( X ), when dim X 10 and in several smaller-dimensional cases. Applications of these results to real quadrics and to the unramified Witt ring are given.