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arXiv · 1908.10591

The pro-\'etale cohomology of Drinfeld's upper half space

Sascha Orlik
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Abstract

We determine the geometric pro-\'etale cohomology of Drinfeld's upper half space ${\mathcal X}$ over a p-adic field. The strategy is different from the one given by Colmez, Dospinescu and Niziol. It uses the approach developed in a former paper of the author describing global sections of equivariant vector bundles on ${\mathcal X}$.

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Sascha Orlik. 2019-08-28. The pro-\'etale cohomology of Drinfeld's upper half space. https://arxiv.org/abs/1908.10591

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