Timeline for Realisation functor
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Apr 6, 2013 at 23:44 | comment | added | D.-C. Cisinski | For this, you need to consider the étale version of effective motives with $\mathbb{Z}/n\mathbb{Z}$-coefficients ($n$ prime to $char(k)$). Then the equivalence with the derived category of Galois representations with $\mathbb{Z}/n\mathbb{Z}$-coefficients (which is reformulation of Suslin-Voevodsky's rigidity theorem) imply that the Tate twist is already invertible in the triangulated category of effective étale motives with $\mathbb{Z}/n\mathbb{Z}$-coefficients (so that the adjective 'effective' may be dropped after all). But there is no need to restrict to geometric motives though. | |
| Mar 20, 2013 at 15:25 | comment | added | Will Sawin | Why only effective? The target category seems to me to admit Tate twists. | |
| Feb 20, 2013 at 13:48 | history | answered | Jakob | CC BY-SA 3.0 |