Timeline for Geometric Meaning of Different K-theories
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 6, 2016 at 16:13 | comment | added | Elden Elmanto | Ah I think your expectation should be correct - it's the connective cover only on stalks. Examining the spectral sequence we might get contributions from $H^t(X, \pi_sK)$ groups where $s < t$. | |
| Sep 6, 2016 at 11:12 | history | edited | Denis Nardin | CC BY-SA 3.0 |
Fixed sloppy wording
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| Sep 6, 2016 at 11:10 | comment | added | Denis Nardin | @EldenElmanto You are right that I was sloppy in my description of Thomason's theorem (I'll fix it now), but are you sure that to obtain étale K-theory from Bott inverted K-theory you need just to take the connective cover? Over a non affine scheme I don't expect the global sections to be connective. | |
| Sep 6, 2016 at 5:27 | comment | added | Elden Elmanto | I should say that I learned the above from ben antieau | |
| Sep 6, 2016 at 4:37 | comment | added | Elden Elmanto | Just to clarify a mistake I've made in the past - thomason tells us that bott inverted K theory has etale descent. The sheafification of k theory is the connective cover of this bott inverted k theory. Note: since sheafification doesn't change stalks we see that etale K theory remains connective on strictly henselian guys so it can't be bott inverted k theory | |
| Sep 6, 2016 at 2:10 | vote | accept | user98095 | ||
| Sep 6, 2016 at 2:18 | |||||
| Sep 6, 2016 at 2:01 | history | answered | Denis Nardin | CC BY-SA 3.0 |