Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.02492 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913859775758336 |
|---|---|
| author | Gao, Hui Zhao, Luming |
| author_facet | Gao, Hui Zhao, Luming |
| contents | We construct cohomology theories for $(φ, τ)$-modules, and study their relation with cohomology of $(φ, Γ)$-modules, as well as Galois cohomology. Our method is axiomatic, and can treat the étale case, the overconvergent case, and the rigid-overconvergent case simultaneously. We use recent advances in locally analytic cohomology as a key ingredient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02492 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomology of $(φ, τ)$-modules Gao, Hui Zhao, Luming Number Theory We construct cohomology theories for $(φ, τ)$-modules, and study their relation with cohomology of $(φ, Γ)$-modules, as well as Galois cohomology. Our method is axiomatic, and can treat the étale case, the overconvergent case, and the rigid-overconvergent case simultaneously. We use recent advances in locally analytic cohomology as a key ingredient. |
| title | Cohomology of $(φ, τ)$-modules |
| topic | Number Theory |
| url | https://arxiv.org/abs/2402.02492 |