English

Torsion 1-cycles and the coniveau spectral sequence

Algebraic Geometry 2017-10-13 v2

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 2dim(X)-3. We also describe in terms of H-cohomology the Griffiths group of 1-cycles and the group of torsion cycles algebraically equivalent to zero of arbitrary dimension.

Keywords

Cite

@article{arxiv.1606.06876,
  title  = {Torsion 1-cycles and the coniveau spectral sequence},
  author = {Shouhei Ma},
  journal= {arXiv preprint arXiv:1606.06876},
  year   = {2017}
}

Comments

title changed, to appear in Documenta Math