Torsion 1-cycles and the coniveau spectral sequence
Documenta mathematica, Tome 22 (2017), pp. 1501-1517.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 $2{\dim}(X)-3$. We also describe in terms of $\Cal H$-cohomology the Griffiths group of 1-cycles and the group of torsion cycles algebraically equivalent to zero of arbitrary dimension.
Classification : 14C25, 14C15, 14C35
Keywords: 1-cycles, Griffiths group, Abel-Jacobi map, coniveau spectral sequence, $\Cal H$-cohomology, birational invariant
@article{DOCMA_2017__22__a7,
     author = {Ma, Shouhei},
     title = {Torsion 1-cycles and the coniveau spectral sequence},
     journal = {Documenta mathematica},
     pages = {1501--1517},
     publisher = {mathdoc},
     volume = {22},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a7/}
}
TY  - JOUR
AU  - Ma, Shouhei
TI  - Torsion 1-cycles and the coniveau spectral sequence
JO  - Documenta mathematica
PY  - 2017
SP  - 1501
EP  - 1517
VL  - 22
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a7/
LA  - en
ID  - DOCMA_2017__22__a7
ER  - 
%0 Journal Article
%A Ma, Shouhei
%T Torsion 1-cycles and the coniveau spectral sequence
%J Documenta mathematica
%D 2017
%P 1501-1517
%V 22
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a7/
%G en
%F DOCMA_2017__22__a7
Ma, Shouhei. Torsion 1-cycles and the coniveau spectral sequence. Documenta mathematica, Tome 22 (2017), pp. 1501-1517. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a7/