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arXiv · 2507.22056

$p$-integrability

Yujie Xu
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Abstract

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.

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Yujie Xu. 2025-07-29. $p$-integrability. https://arxiv.org/abs/2507.22056

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