Murre's conjectures for certain product varieties

Mathematics – Algebraic Geometry

Scientific paper

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7 pages

Scientific paper

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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