A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915085183614976 |
|---|---|
| author | Anschütz, Johannes Bras, Arthur-César Le Mann, Lucas |
| author_facet | Anschütz, Johannes Bras, Arthur-César Le Mann, Lucas |
| contents | We develop a 6-functor formalism $\mathcal{D}_{[0,\infty)}(-)$ with $\mathbb{Z}_p$-linear coefficients on small v-stacks, and discuss consequences for duality and finiteness for pro-étale cohomology of rigid-analytic varieties of general pro-étale $\mathbb{Q}_p$-local systems as well as first examples motivated by a potential $p$-adic analog of Fargues-Scholze's geometrization program of the local Langlands correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve Anschütz, Johannes Bras, Arthur-César Le Mann, Lucas Algebraic Geometry Number Theory We develop a 6-functor formalism $\mathcal{D}_{[0,\infty)}(-)$ with $\mathbb{Z}_p$-linear coefficients on small v-stacks, and discuss consequences for duality and finiteness for pro-étale cohomology of rigid-analytic varieties of general pro-étale $\mathbb{Q}_p$-local systems as well as first examples motivated by a potential $p$-adic analog of Fargues-Scholze's geometrization program of the local Langlands correspondence. |
| title | A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2412.20968 |