On a positive equicharacteristic variant of the $p$-curvature conjecture

Mathematics – Algebraic Geometry

Scientific paper

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33 pages; v3: improvements in proofs, stronger main theorems

Scientific paper

Our aim is to formulate and prove a weak form in equal characteristic $p>0$
of the $p$-curvature conjecture. We also show the existence of a counterexample
to a strong form of it.

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