Geodesic
Algebraic cycles and fibrations
Documenta mathematica, Tome 18 (2013), pp. 1521-1553
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Let f:X→B be a projective surjective morphism between quasi-projective varieties. The goal of this paper is the study of the Chow groups of X in terms of the Chow groups of B and of the fibres of f. One of the applications concerns quadric bundles. When X and B are smooth projective and when f is a flat quadric fibration, we show that the Chow motive of X is «built» from the motives of varieties of dimension less than the dimension of B.
DOI : 10.4171/dm/435
Classification : 14C05, 14C15, 14C25, 14D99
Mots-clés : motives, algebraic cycles, Chow groups, quadric bundles, Chow--künneth decomposition 
@article{10_4171_dm_435,
     author = {Charles Vial},
     title = {Algebraic cycles and fibrations},
     journal = {Documenta mathematica},
     pages = {1521--1553},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/435},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/435/}
}
TY  - JOUR
AU  - Charles Vial
TI  - Algebraic cycles and fibrations
JO  - Documenta mathematica
PY  - 2013
SP  - 1521
EP  - 1553
VL  - 18
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/435/
DO  - 10.4171/dm/435
ID  - 10_4171_dm_435
ER  - 
%0 Journal Article
%A Charles Vial
%T Algebraic cycles and fibrations
%J Documenta mathematica
%D 2013
%P 1521-1553
%V 18
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/435/
%R 10.4171/dm/435
%F 10_4171_dm_435
Charles Vial. Algebraic cycles and fibrations. Documenta mathematica, Tome 18 (2013), pp. 1521-1553. doi: 10.4171/dm/435

Cité par Sources :