p-integrability

2025/07/29 by Xu, Yujie
#11G99 #14G99 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2507.22056

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.

Related

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