Murre’s conjectures for certain product varieties

Kimura, Kenichiro

J. Math. Kyoto Univ., Tome 47 (2007) no. 3, p. 621-629 / Harvested from Project Euclid

Résumé

We consider Murre’s conjectures on Chow groups for a fourfold which is a product of two curves and a surface. We give a result which concerns Conjecture D:the kernel of a certain projector is equal to the homologically trivial part of the Chow group. We also give a proof of Conjecture B for a product of two surfaces.

Publié le : 2007-05-15
Classification: 14C15, 14C25

@article{1250281027,
     author = {Kimura, Kenichiro},
     title = {Murre's conjectures for certain product varieties},
     journal = {J. Math. Kyoto Univ.},
     volume = {47},
     number = {3},
     year = {2007},
     pages = { 621-629},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281027}
}

Kimura, Kenichiro. Murre’s conjectures for certain product varieties. J. Math. Kyoto Univ., Tome 47 (2007) no. 3, pp.  621-629. http://gdmltest.u-ga.fr/item/1250281027/