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arXiv · 1310.4386

Ambiguity of certain Chow-Kuenneth projectors

Morihiko Saito
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Abstract

We show that the ambiguity of Murre's Chow-Kuenneth projector for degree 1 has certain good properties, assuming only that it factors through a Chow motive of a smooth irreducible curve. This is compatible with a picture obtained by using Beilinson's conjectural mixed motives, and implies for instance the independence of the Chow motive defined by the middle Chow-Kuenneth projector for surfaces.

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Morihiko Saito. 2013-10-16. Ambiguity of certain Chow-Kuenneth projectors. https://arxiv.org/abs/1310.4386

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