English

Murre's conjectures for certain product varieties

Algebraic Geometry 2007-05-23 v2

Abstract

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.

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Cite

@article{arxiv.math/0509249,
  title  = {Murre's conjectures for certain product varieties},
  author = {Kenichiro Kimura},
  journal= {arXiv preprint arXiv:math/0509249},
  year   = {2007}
}

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7 pages