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Oct 4, 2011 at 14:47 comment added Mikhail Bondarko Great! So, I can start with a projective space.:)
Sep 28, 2011 at 20:21 vote accept Mikhail Bondarko
Sep 27, 2011 at 10:49 comment added Wanderer @Damian: Fantastic!
Sep 27, 2011 at 10:28 comment added Damian Rössler By a result of Jouanaolou ("Jouanolou's trick", see his article in LNM 341), every quasi-projective variety $X$ over a field (say) has a vector bundle $V_0$ and a torsor $V$ under $V_0$, such that $V$ is an affine scheme. If $X$ is regular, then the pull-back from $X$ to $V$ will induce an isomorphism ${\rm CH}(X)_{\bf Q}\simeq {\rm CH}(V)_{\bf Q}$, so this construction should provide you with a lot of examples.
Sep 27, 2011 at 9:16 answer added naf timeline score: 5
Sep 27, 2011 at 8:43 history asked Mikhail Bondarko CC BY-SA 3.0