Geodesic
Torsion 1-cycles and the coniveau spectral sequence
Documenta mathematica, Tome 22 (2017), pp. 1501-1517
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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.
DOI : 10.4171/dm/602
Classification : 14C15, 14C25, 14C35
Mots-clés : Griffiths group, 1-cycles, Abel-Jacobi map, coniveau spectral sequence, \( \Cal H \)-cohomology, birational invariant 
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     author = {Shouhei Ma},
     title = {Torsion 1-cycles and the coniveau spectral sequence},
     journal = {Documenta mathematica},
     pages = {1501--1517},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/602},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/602/}
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Shouhei Ma. Torsion 1-cycles and the coniveau spectral sequence. Documenta mathematica, Tome 22 (2017), pp. 1501-1517. doi: 10.4171/dm/602

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