$p$-integrability
Algebraic Geometry
2025-07-30 v1 Number Theory
Abstract
In this short note, we prove the equivalence of Grothendieck-Katz -curvature Conjecture with Conjecture F in Ekedahl-Shepherd-Barron-Taylor. More precisely, we show that Conjecture F implies the -curvature conjecture, and that the -curvature Conjecture implies Conjecture F for the foliation attached to a vector bundle with integrable connection.
Keywords
Cite
@article{arxiv.2507.22056,
title = {$p$-integrability},
author = {Yujie Xu},
journal= {arXiv preprint arXiv:2507.22056},
year = {2025}
}
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6 pages