What is Mumford's example of a normal complex algebracalgebraic surface $X$ with non-torsion elements in $H^2_{et}(X,\mathbb{G}_m)$?

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asked Feb 12, 2017 at 21:38

Zhaoting Wei

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What is Mumford's example of a normal complex algebrac surface $X$ with non-torsion elements in $H^2_{et}(X,\mathbb{G}_m)$?

I have heard that Mumford has constructed an example of a normal complex algebraic surface $X$ such that $H^2_{et}(X,\mathbb{G}_m)$ contains a non-torsion element. But I cannot find the reference.

Then what is the surface $X$ and how to construct a non-torsion element in $H^2_{et}(X,\mathbb{G}_m)$?

ag.algebraic-geometry reference-request etale-cohomology algebraic-surfaces

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What is Mumford's example of a normal complex algebracalgebraic surface $X$ with non-torsion elements in $H^2_{et}(X,\mathbb{G}_m)$?

What is Mumford's example of a normal complex algebrac surface $X$ with non-torsion elements in $H^2_{et}(X,\mathbb{G}_m)$?