2015/11/30 by Bruno Kahn, R. Sujatha
Mathematics · #math.AG #msc:14E99 #msc:19E15
published as Selecta Math. (N.S.) 24 (2018), no. 2, 1121-1146 · minor changes
arxiv created 2017/09/18 · arxiv updated 2020/06/04
We study the first "derived functors of unramified cohomology" in the sense of arXiv:1506.08385 [math.AG], applied to the sheaves Gm and K2. We find interesting connections with classical cycle-theoretic invariants of smooth projective varieties, involving notably a version of the Griffiths group, and the indecomposable (2,1)-cycles.