On a positive equicharacteristic variant of the $p$-curvature conjecture
Documenta mathematica, Tome 18 (2013), pp. 23-50.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 14D05, 14E20, 14F35, 11G10, 11G99
Keywords: varieties in positive characteristic, stratified bundles, étale trivializable bundles, monodromy group, abelian varieties
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     author = {Esnault, H\'el\`ene and Langer, Adrian},
     title = {On a positive equicharacteristic variant of the $p$-curvature conjecture},
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Esnault, Hélène; Langer, Adrian. On a positive equicharacteristic variant of the $p$-curvature conjecture. Documenta mathematica, Tome 18 (2013), pp. 23-50. http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a48/