Remarks on Murre's conjecture on Chow groups

Kejian Xu; Ze Xu

Remarks on Murre's conjecture on Chow groups

Algebraic Geometry 2011-10-05 v1

Authors: Kejian Xu , Ze Xu

Abstract

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 $X\times C.$

Keywords

algebraic cycles and chow groups conjectures and proofs chow rings

Cite

@article{arxiv.1110.0668,
  title  = {Remarks on Murre's conjecture on Chow groups},
  author = {Kejian Xu and Ze Xu},
  journal= {arXiv preprint arXiv:1110.0668},
  year   = {2011}
}

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10 pages

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