Ambiguity of certain Chow-Kuenneth projectors

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.

8 pages

References in corpus (3)

• Finite dimensional motives and the Conjectures of Beilinson and Murre
• Chow-Kunneth decomposition for varieties with low cohomological level
• Bloch's Conjecture and Chow Motives