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arXiv · 1806.06488

Cohomological dimension in pro-$p$-towers

Hélène Esnault
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Abstract

We give a proof without use of perfectoid geometry of Scholzes' vanishing theorem of \'etale cohomology with $\mathbb{F}_p$-coefficients beyond the dimension of projective varieties in a specific pro $p$-tower in characteristic not equal to $p$. Final version.

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Hélène Esnault. 2018-06-18. Cohomological dimension in pro-$p$-towers. https://arxiv.org/abs/1806.06488

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