Geodesic
The motivic Steenrod algebra in positive characteristic
Journal of the European Mathematical Society, Tome 19 (2017) no. 12, pp. 3813-3849

Voir la notice de l'article provenant de la source EMS Press

Let S be an essentially smooth scheme over a field and l=charS a prime number. We show that the algebra of bistable operations in the mod l motivic cohomology of smooth S-schemes is generated by the motivic Steenrod operations. This was previously proved by Voevodsky for S a field of characteristic zero. We follow Voevodsky's proof but remove its dependence on characteristic zero by using etale cohomology instead of topological realization and by replacing resolution of singularities with a theorem of Gabber on alterations.
DOI : 10.4171/jems/754
Classification : 14-XX, 19-XX
Keywords: The motivic Steenrod algebra and its dual 
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     title = {The motivic {Steenrod} algebra in positive characteristic},
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Marc Hoyois; Shane Kelly; Paul Arne Østvær. The motivic Steenrod algebra in positive characteristic. Journal of the European Mathematical Society, Tome 19 (2017) no. 12, pp. 3813-3849. doi: 10.4171/jems/754

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