Finiteness of analytic cohomology of Lubin-Tate $(\varphi_L,\Gamma_L)$-modules
| Autor: | Steingart, Rustam |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jnt.2024.04.008 |
| Popis: | We prove finiteness and base change properties for analytic cohomology of families of $L$-analytic $(\varphi_L,\Gamma_L)$-modules parametrised by affinoid algebras in the sense of Tate. For technical reasons we work over a field $K$ containing a period of the Lubin-Tate group, which allows us to describe analytic cohomology in terms of an explicit generalized Herr complex. Comment: Updated numbering and added DOI of the published version |
| Databáze: | arXiv |
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