A pro-étale-to-de Rham comparison theorem for curves
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915627630854144 |
|---|---|
| author | Gilles, Sally |
| author_facet | Gilles, Sally |
| contents | We state a conjecture relating de Rham cohomology of a smooth rigid analytic variety to its compactly supported pro-étale cohomology. We prove the conjecture in the cases where the variety is a Stein curve of dimension one or a Stein space of higher dimension with low Frobenius slopes. The proof uses computation of the Galois cohomology of the almost de Rham period ring BdR[log(t)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14041 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A pro-étale-to-de Rham comparison theorem for curves Gilles, Sally Algebraic Geometry Number Theory We state a conjecture relating de Rham cohomology of a smooth rigid analytic variety to its compactly supported pro-étale cohomology. We prove the conjecture in the cases where the variety is a Stein curve of dimension one or a Stein space of higher dimension with low Frobenius slopes. The proof uses computation of the Galois cohomology of the almost de Rham period ring BdR[log(t)]. |
| title | A pro-étale-to-de Rham comparison theorem for curves |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2503.14041 |