Timeline for Obstruction to get a galois invariant cycle

7 events

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May 28, 2015 at 16:55	comment	added	user052715		Thank you very much for all of your answers. So in general (there are counterexample to integral Tate conjecture) it does not happen.
May 27, 2015 at 18:09	comment	added	Daniel Loughran		Actually the Tate conjecture only applies with rational coefficients whereas here you are working with integral coefficients, so it perhaps not so clear whether the Tate conjecture can be used.
May 27, 2015 at 17:31	comment	added	Daniel Loughran		The surjectivity of $(\mathrm{CH}^i)^G \to (\mathrm{H}_{\mathrm{alg}}^{2i})^G$ is implied by the Tate conjecture. It is not clear to me whether this weaker statement is easier than the Tate conjecture in general, however.
May 27, 2015 at 17:03	history	edited	R.P.	CC BY-SA 3.0	added 217 characters in body
May 27, 2015 at 16:44	history	edited	R.P.	CC BY-SA 3.0	added 157 characters in body
May 27, 2015 at 16:39	history	edited	R.P.	CC BY-SA 3.0	added 157 characters in body
May 27, 2015 at 16:34	history	answered	R.P.	CC BY-SA 3.0