Kejian Xu, Ze Xu
Published 2011-10-04Version 1
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 $X\times C.$
Rational curves on quotients of abelian varieties by finite groups
Isogeny classes of abelian varieties with no principal polarizations
Some elementary theorems about divisibility of 0-cycles on abelian varieties defined over finite fields
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