p-integrability
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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