Remarks on Murre's conjecture on Chow groups

Details Remarks on Murre's conjecture on Chow groups Remarks on Murre's conjecture on Chow groups

2011-10-04

arxiv.org/abs/1110.0668v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

For certain product varieties, Murre's conjecture on Chow groups is investigated. In particular, it is proved that Murre's conjecture (B) is true for two kinds of four-folds. Precisely, if $C$ is a curve and $X$ is an elliptic modular threefold over $k$ (an algebraically closed field of characteristic 0) or an abelian variety of dimension 3, then Murre's conjecture (B) is true for the fourfold $X\times C.$

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