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arxiv: 1207.3121 · v1 · pith:S3KFF32Qnew · submitted 2012-07-12 · 🧮 math.AG · math.AT

Op\'erations de Steenrod motiviques

classification 🧮 math.AG math.AT
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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