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arXiv · 1506.08385

Birational motives, II: Triangulated birational motives

Bruno Kahn·R. Sujatha
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Abstract

We develop birational versions of Voevodsky's triangulated categories of motives over a field, and relate them with the pure birational motives studied in arXiv:0902.4902 [math.AG]. We also get an interpretation of unramified cohomology in this framework, leading to "higher derived functors of unramified cohomology".

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Bruno Kahn, R. Sujatha. 2016-08-03. Birational motives, II: Triangulated birational motives. https://doi.org/10.1093/imrn%2Frnw184

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