p-adic etale cohomology of period domains
| Autor: | Colmez, Pierre, Dospinescu, Gabriel, Hauseux, Julien, Nizioł, Wiesława |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Math. Annalen 381 (2021) 105-180 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00208-020-02139-6 |
| Popis: | We compute the p-torsion and p-adic etale cohomologies with compact support of period domains over local fields in the case of basic isocrystals for quasi-split reductive groups. For the p-torsion case, we follow the method used by Orlik in his computations of the l-torsion etale cohomology using as a key new ingredient the computation of Ext groups between mod p generalized Steinberg representations of p-adic groups. For the p-adic case, we don't use Huber's definition of etale cohomology with compact support as Orlik did since it seems to give spaces that are much too big; instead we use continuous etale cohomology with compact support. Comment: published version |
| Databáze: | arXiv |
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