A Historical background....................................... xi A. 1 The conjectural theory described by
Beilinson............ xi A. 2 Voevodsky's motivic complexes........................ xii A. 3 Morel and …

Triangulated categories of motives 189 complexes over k (the minus sign indicates that we
consider only complexes bounded from the above). This construction provides a natural …

We define a theory of étale motives over a noetherian scheme. This provides a system of
categories of complexes of motivic sheaves with integral coefficients which is closed under …

This book combines foundational constructions in the theory of motives and results relating
motivic cohomology to more explicit constructions. Prerequisite for understanding the work is …

We describe explicitly the Voevodsky's triangulated category of motives (and give a
'differential graded enhancement'of it). This enables us to able to verify that DMgm ℚ is (anti) …

Let Var be the category of complex algebraic varieties, Top that of nice topological spaces,
Dab be the derived category of finite complexes of finitely generated abelian groups. One …

Provides an account of the triangulated theory of motives. The book's purpose is to introduce
Motivic Cohomology, to develop its main properties, and finally to relate it to other known …

We prove that the category of mixed Tate motives over ℤ is spanned by the motivic
fundamental group of ℙ 1 minus three points. We prove a conjecture by M. Hoffman which …

For noetherian schemes of finite dimension over a field of characteristic exponent p, we
study the triangulated categories of Z [1/p]-linear mixed motives obtained from cdh-sheaves …

The notion of motivic functors refers to a motivic homotopy theoretic analog of continuous
functors. In this paper we lay the foundations for a homotopical study of these functors. Of …