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

Abstract

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.

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

References in corpus (1)

• The Grothendieck-Katz Conjecture for certain locally symmetric varieties

Cited by in corpus (2)

• On positivity and semistability of vector bundles in finite and mixed characteristics
• On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic II