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for questions about etale cohomology of schemes, including foundational material and applications.
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Finiteness of $H^2(X,\mu_n)$
Let $X$ be a proper curve over $k$ (algebraically closed) of characteristic $p>0$.
When is $H_{fl}^2(X,\mu_n)$ is a finite group?
It's true when $X$ is smooth but are there any more general results …