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Murre's conjectures for certain product varieties

Kenichiro Kimura
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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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Kenichiro Kimura. 2005-09-20. Murre's conjectures for certain product varieties. https://arxiv.org/abs/math/0509249

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