A cohomological smoothness conjecture for moduli of mixed characteristic local shtukas with one leg
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_ | 1866913993399992320 |
|---|---|
| author | Howe, Sean |
| author_facet | Howe, Sean |
| contents | We give a simple geometric characterization of the locus where the inscribed Banach--Colmez Tangent Spaces of moduli of mixed characteristic local shtukas with one leg and fixed determinant are connected. We conjecture that the structure morphism for the underlying diamond is cohomologically smooth over this locus and, applying the Fargues--Scholze Jacobian criterion, we prove this conjecture in the case of EL infinite level Rapoport--Zink spaces, generalizing a result of Ivanov--Weinstein in the basic case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11595 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A cohomological smoothness conjecture for moduli of mixed characteristic local shtukas with one leg Howe, Sean Algebraic Geometry Number Theory We give a simple geometric characterization of the locus where the inscribed Banach--Colmez Tangent Spaces of moduli of mixed characteristic local shtukas with one leg and fixed determinant are connected. We conjecture that the structure morphism for the underlying diamond is cohomologically smooth over this locus and, applying the Fargues--Scholze Jacobian criterion, we prove this conjecture in the case of EL infinite level Rapoport--Zink spaces, generalizing a result of Ivanov--Weinstein in the basic case. |
| title | A cohomological smoothness conjecture for moduli of mixed characteristic local shtukas with one leg |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2508.11595 |