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arxiv: 1506.08385 · v2 · pith:5BH3TKMEnew · submitted 2015-06-28 · 🧮 math.AG

Birational motives, II: Triangulated birational motives

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keywords birationalmotivescohomologytriangulatedunramifiedarxivcategoriesderived
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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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