English

Op\'erations de Steenrod motiviques

Algebraic Geometry 2012-07-16 v1 Algebraic Topology

Abstract

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.

Keywords

Cite

@article{arxiv.1207.3121,
  title  = {Op\'erations de Steenrod motiviques},
  author = {Joël Riou},
  journal= {arXiv preprint arXiv:1207.3121},
  year   = {2012}
}

Comments

61 pages