Geodesic
The pro-étale cohomology of Drinfeld's upper half space
Documenta mathematica, Tome 26 (2021), pp. 1395-1421 Cet article a éte moissonné depuis la source EMS Press

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We determine the geometric pro-étale cohomology of Drinfeld's upper half space over a p-adic field K. The strategy is different from the one given by [P. Colmez et al., Invent. Math. 219, No. 3, 873–985 (2020; Zbl 1475.11110)] and is based on the approach developed in [S. Orlik, Invent. Math. 172, No. 3, 585–656 (2008; Zbl 1136.22009)] describing global sections of equivariant vector bundles.
DOI : 10.4171/dm/844
Classification : 11F85, 14F20, 14F30, 14G20, 22E50
Mots-clés : pro-étale cohomology, Drinfeld half space 
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     author = {Sascha Orlik},
     title = {The pro-\'etale cohomology of {Drinfeld's} upper half space},
     journal = {Documenta mathematica},
     pages = {1395--1421},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/844},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/844/}
}
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Sascha Orlik. The pro-étale cohomology of Drinfeld's upper half space. Documenta mathematica, Tome 26 (2021), pp. 1395-1421. doi: 10.4171/dm/844

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