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On the zero slice of the sphere spectrum
Vladimir Voevodsky
In this paper we prove over fields of characteristic zero that the zero slice of the motivic sphere spectrum is the motivic Eilenberg-Maclane spectrum. As a corollary one concludes…
Cancellation theorem
Vladimir Voevodsky
In this paper we give a direct geometric proof of the fact that tensoring with the Tate motive in the triangulated category of effective motives DM is a full embedding. The main pa…
On 2-torsion in motivic cohomology
Vladimir Voevodsky
In this paper we prove the 2-local part of the Beilinson-Lichtenbaum conjectures on tosion in motivic cohomology. In particular we prove the Milnor conjecture relating Milnor's K-t…
Reduced power operations in motivic cohomology
Vladimir Voevodsky
In this paper we construct an analog of Steenrod operations in motivic cohomology and prove their basic properties including the Cartan formula, the Adem relations and the realtion…