Article ID Journal Published Year Pages File Type
5772793 Journal of Pure and Applied Algebra 2017 20 Pages PDF
Abstract
We introduce a tower of localizing subcategories in Voevodsky's big (closed under infinite coproducts) triangulated category of motives. We show that the tower induces a finite filtration on the motivic cohomology groups of smooth schemes over a perfect field. With rational coefficients, this finite filtration satisfies several of the properties of the still conjectural Bloch-Beilinson-Murre filtration.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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