Torsion 1-cycles and the coniveau spectral sequence
Shouhei Ma
![Torsion 1-cycles and the coniveau spectral sequence cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-dm-volume-22.png&w=3840&q=90)
Abstract
We relate the torsion part of the Abel-Jacobi kernel in the Griffiths group of 1-cycles to a birational invariant analogous to the degree 4 unramified cohomology and an invariant associated to the generalized Hodge conjecture in degree . We also describe in terms of -cohomology the Griffiths group of 1-cycles and the group of torsion cycles algebraically equivalent to zero of arbitrary dimension.
Cite this article
Shouhei Ma, Torsion 1-cycles and the coniveau spectral sequence. Doc. Math. 22 (2017), pp. 1501–1517
DOI 10.4171/DM/602