2015/06/30 by Bruno Kahn, R. Sujatha · 1 citation
Mathematics · #math.AG #msc:14C15 #msc:18E30 #msc:14E05
paper · pdf · doi:10.1093/imrn/rnw184
published as International Mathematics Research Notices, Vol. 2017, No. 22, pp. 6778-6831 · Compared to the initial version: previous Subsection 4.2 has been upgraded to Section 5; previous Lemmas 5.2.5 and 5.2.6 have been corrected to Proposition 6.2.5 and Lemma 6.2.6; at the referee's request, previous Appendix B and the proof of previous Proposition C.1.1 (now A.4.1) have been removed (please consult the initial version for them)
arxiv created 2016/08/03 · arxiv updated 2017/12/20
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".