Resumen de The derived functors of unramified cohomology

Bruno Kahn, R. Sujatha

• We study the first “derived functors of unramified cohomology” in the sense of Kahn and Sujatha (IMRN 2016. doi: 10.1093/imrn/rnw184), 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 group of indecomposable (2, 1)-cycles.