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for questions about etale cohomology of schemes, including foundational material and applications.

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Is there an analogue of the linking pairing in etale, crystalline, etc cohomology theories?

Let $M$ be a compact oriented manifold of dimension $n$. It is well-known that there is a perfect intersection pairing $$H_k(M;\mathbb{Z})_{torsion\,\,free}\otimes H_{n-k}(M;\mathbb{Z})_{torsion\,\,fr …