7 citations · 16 across the 4 of their papers we have counts for
4 papers
Homotopy theory of simplicial presheaves in completely decomposable topologies
Vladimir Voevodsky
There are two approaches to the homotopy theory of simplicial (pre-)sheaves. One developed by Joyal and Jardine works for all sites but produces a model structure which is not fini…
Unstable motivic homotopy categories in Nisnevich and cdh-topologies
Vladimir Voevodsky
The motivic homotopy categories can be defined with respect to different topologies and different underlying categories of schemes. For a number of reasons (mainly because of the G…
Lectures on motivic cohomology 2000/2001 (written by Pierre Deligne)
Vladimir Voevodsky
These lecture notes cover four topics. There is a proof of the fact that the functors represented by the motivic Eilenberg-Maclane spaces on the motivic homotopy category coincide…
Motives over simplicial schemes
Vladimir Voevodsky
In this paper we define the triangulated category of motives over a simplicial scheme. The morphisms between the Tate objects in this category compute the motivic cohomology of the…