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Motivic Steenrod algebra and Thom obstructions without desingularization

Hu, Jiahao
arXiv (OAI Expanded) · Papers
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algebraic-geometryalgebraic-topology
We give a desingularization-free proof of Voevodsky's identification of bistable mod-$\ell$ motivic cohomology operations with the motivic Steenrod algebra over fields of characteristic zero. This supplies the direct argument anticipated by Voevodsky in his study of motivic Eilenberg--MacLane spaces
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