On a positive equicharacteristic variant of the $p$-curvature conjecture
Documenta mathematica, Tome 18 (2013), pp. 23-50
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 :
11G10, 11G99, 14D05, 14E20, 14F35
Mots-clés : abelian varieties, varieties in positive characteristic, stratified bundles, étale trivializable bundles, monodromy group
Mots-clés : abelian varieties, varieties in positive characteristic, stratified bundles, étale trivializable bundles, monodromy group
@article{10_4171_dm_390,
author = {Adrian Langer and H\'el\`ene Esnault},
title = {On a positive equicharacteristic variant of the $p$-curvature conjecture},
journal = {Documenta mathematica},
pages = {23--50},
year = {2013},
volume = {18},
doi = {10.4171/dm/390},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/390/}
}
Adrian Langer; Hélène Esnault. On a positive equicharacteristic variant of the $p$-curvature conjecture. Documenta mathematica, Tome 18 (2013), pp. 23-50. doi: 10.4171/dm/390
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