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Op\'erations de Steenrod motiviques

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arxiv 1207.3121 v1 pith:S3KFF32Q submitted 2012-07-12 math.AG math.AT

Joël Riou This is my paper · ORCID
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keywords cohomologymotivicvoevodskycoefficientsoperationssteenrodactingarticle
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This article fills some gaps in Voevodsky's construction of the Steenrod operations acting on the motivic cohomology with coefficients in Z/lZ of motivic spaces in the sense of Morel and Voevodsky over a perfect field of characteristic different from l. Moreover, as a consequence of the method of proof of a theorem by Voevodsky on stable cohomology operations, we show that the spectrum that represents motivic cohomology with coefficients Z/lZ has no nonzero "superphantom" endomorphism.

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  1. Product formulas for conjugated motivic milnor basis

    math.AT 2024-11 conditional novelty 7.0 of 10

    The paper gives closed-form product formulas for the conjugated motivic Milnor basis of the mod 2 motivic Steenrod algebra over a general field.

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