Timeline for For which varieties is the natural map from the Chow ring to integral cohomology an isomorphism?

9 events

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Dec 19, 2013 at 17:57	vote	accept	Qiaochu Yuan
Dec 11, 2013 at 7:41	history	edited	Qiaochu Yuan	CC BY-SA 3.0	edited tags
Dec 11, 2013 at 7:34	comment	added	naf		Your question is (at least conjecturally) equivalent to the Chow motive of X being a polynomial in the Lefschetz motive (with rational coefficients). This is not true integrally since the map can be an isomorphism even if there is torsion in the cohomology (e.g., Enriques, Godeaux,...).
Dec 11, 2013 at 3:16	history	edited	Qiaochu Yuan	CC BY-SA 3.0	added 5 characters in body
Dec 11, 2013 at 2:48	history	edited	Qiaochu Yuan	CC BY-SA 3.0	added 448 characters in body
Dec 10, 2013 at 7:18	answer	added	Donu Arapura		timeline score: 22
Dec 10, 2013 at 7:01	comment	added	Daniel Litt		It follows from Proposition 2.1(1) here: arxiv.org/pdf/1305.4549.pdf that this is the case for any variety with a full exceptional collection.
Dec 10, 2013 at 6:50	comment	added	Benjamin Dickman		Maybe you have seen this (or it is of no help - or both) but perhaps relevant is ams.org/notices/200306/fea-vakil.pdf and some of its references (e.g. Fulton's book on Young Tableaux).
Dec 10, 2013 at 6:36	history	asked	Qiaochu Yuan	CC BY-SA 3.0