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Nov 27, 2017 at 18:27 comment added Leo Alonso @SimonPepinLehalleur Why don't you post this as an answer?
S Nov 27, 2017 at 16:44 history suggested tttbase
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Nov 27, 2017 at 14:41 review Suggested edits
S Nov 27, 2017 at 16:44
Nov 19, 2014 at 18:10 comment added Simon Pepin Lehalleur What is your definition of P(k)? Do you take pairs (X,i) with morphisms induced by morphisms of varieties? About the second question: Arapura showed in arxiv.org/abs/0801.0261 that the full subcategory of pure Nori motives (in the sense of the subcategory of NMM(k) coming from smooth projective varieties) is equivalent to the category of pure André motives; see thm 6.4.1 in loc. cit. Now the category of André motives is equivalent to the category of pure motives for the numerical equivalence iff the Lefchetz standard conjecture is true for k. Relating Nori motives to cycles is hard!
Oct 18, 2014 at 7:58 comment added Lucian pure motives - There's no such thing... ;-)
Oct 16, 2014 at 11:56 history asked KylinChen CC BY-SA 3.0