$p$-integrability
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_ | 1866911082020339712 |
|---|---|
| author | Xu, Yujie |
| author_facet | Xu, Yujie |
| contents | In this short note, we prove the equivalence of Grothendieck-Katz $p$-curvature Conjecture with Conjecture F in Ekedahl-Shepherd-Barron-Taylor. More precisely, we show that Conjecture F implies the $p$-curvature conjecture, and that the $p$-curvature Conjecture implies Conjecture F for the foliation attached to a vector bundle with integrable connection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22056 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $p$-integrability Xu, Yujie Algebraic Geometry Number Theory 14G99, 11G99 In this short note, we prove the equivalence of Grothendieck-Katz $p$-curvature Conjecture with Conjecture F in Ekedahl-Shepherd-Barron-Taylor. More precisely, we show that Conjecture F implies the $p$-curvature conjecture, and that the $p$-curvature Conjecture implies Conjecture F for the foliation attached to a vector bundle with integrable connection. |
| title | $p$-integrability |
| topic | Algebraic Geometry Number Theory 14G99, 11G99 |
| url | https://arxiv.org/abs/2507.22056 |