Timeline for why are motives more serious than "naive" motives?
Current License: CC BY-SA 3.0
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| Nov 19, 2014 at 16:09 | comment | added | Simon Pepin Lehalleur | Chow motives are not the "right" candidate for pure motives (in the sense of being in the conjectural abelian category of mixed motives), one should rather use pure motives a la Grothendieck for the numerical equivalence (which are known to form a semi-simple abelian category by a theorem of Jannsen). They should be the subcategory of semi-simple objects of MM. The "only" problem is that H^i only factors through them if you believe a substantial part of Grothendieck's standard conjectures. | |
| Nov 7, 2014 at 3:32 | history | edited | Daniel Litt | CC BY-SA 3.0 |
added 4 characters in body
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| Nov 7, 2014 at 3:02 | history | answered | Daniel Litt | CC BY-SA 3.0 |