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Nov 16, 2015 at 14:32 comment added Dan Petersen I guess I should've said "Chow ring" rather than "Chow group" - I meant splitting compatibly with the intersection product.
Nov 16, 2015 at 11:28 comment added Mikhail Bondarko Sorry; usually these filtrations are defined on $Q$-linear Chow groups only, aren't they? Then what's the point of saying that the filtration splits? Are you speaking about some canonical splitting here? Moreover, in the general case there quite natural reasons for this filtration to split (though not quite canonically).
Nov 15, 2015 at 15:12 vote accept Hamilton1261
Nov 14, 2015 at 22:27 history answered Dan Petersen CC BY-SA 3.0