Timeline for Galois descent for etale motivic cohomology
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| S Feb 25, 2018 at 11:33 | history | bounty ended | CommunityBot | ||
| S Feb 25, 2018 at 11:33 | history | notice removed | CommunityBot | ||
| Feb 19, 2018 at 6:07 | comment | added | Thomas Geisser | @DenisNardin The map is an isomorphism with rational coefficients by a transfer argument. But to know it rationally and with torsion coefficients is not enough as the cokernel with integral coefficients can non-trivially map to the kernel for torsion coefficients in the coefficient sequence. Torsion etale motivic cohomology Z/m(n) has been known to agree with etale cohomology with roots of unity coefficients (away from the characteristic) and logarithmic de Rham-Witt coefficients (at the characteristic) long before Cisinki's and Deglise's work. | |
| Feb 17, 2018 at 12:06 | comment | added | Denis Nardin | @MikhailBondarko The answer to both your questions is no (but for (1) you can reduce to torsion and rational coefficients, the latter of which are pretty much rational algebraic K-theory). The equivalence of torsion étale cohomology and torsion Lichtenbaum cohomology (away from the characteristic of the field, of course) is a theorem by Cisinski and Deglise. | |
| S Feb 17, 2018 at 10:28 | history | bounty started | CommunityBot | ||
| S Feb 17, 2018 at 10:28 | history | notice added | user95222 | Draw attention | |
| Jan 30, 2017 at 13:53 | comment | added | Mikhail Bondarko | I have two ideas on this matter; sorry of one or both of them are stupid. So: 1) Can the question be reduced to the study of etale motivic cohomology with torsion coefficients? 2) Does the latter differ from the corresponding etale cohomology? | |
| S Jan 27, 2017 at 18:09 | history | suggested | jeq | CC BY-SA 3.0 |
Typo in title.
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| Jan 27, 2017 at 17:59 | review | Suggested edits | |||
| S Jan 27, 2017 at 18:09 | |||||
| Jan 27, 2017 at 10:37 | history | edited | Myshkin | CC BY-SA 3.0 |
+ top level tag (ag.)
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| Jan 27, 2017 at 8:18 | history | asked | Thomas Geisser | CC BY-SA 3.0 |