High Quality Content by WIKIPEDIA articles! In mathematics, the Grothendieck–Katz p-curvature conjecture is a problem on linear ordinary differential equations, related to differential Galois theory and in a loose sense analogous to the result in the Chebotarev density theorem considered as the polynomial case. It is a conjecture of Alexander Grothendieck from the late 1960s, and apparently not published by him in any form. Since then, reformulations have been published, and Nick Katz has related some cases to deformation theory. The general case remains unsolved, but has been linked to geometric investigations involving algebraic foliations.

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