Birational motives, II: Triangulated birational motives
Algebraic Geometry
2017-12-20 v2
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".
Keywords
Cite
@article{arxiv.1506.08385,
title = {Birational motives, II: Triangulated birational motives},
author = {Bruno Kahn and R. Sujatha},
journal= {arXiv preprint arXiv:1506.08385},
year = {2017}
}
Comments
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)