Timeline for Sequences of groups, exact not just in étale but also in the Zariski topology
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| May 11, 2014 at 18:44 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
removed deprecated tag 'topology'; added tag 'sheaf-theory'; corrected non-rendering mathjax; replaced latex code for link with actual link; other minor editing
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| Jul 8, 2011 at 16:06 | vote | accept | TonyS | ||
| Jul 8, 2011 at 0:02 | answer | added | Daniel Bergh | timeline score: 3 | |
| Jul 7, 2011 at 17:59 | comment | added | TonyS | I'm not so well-read in the area of torsors: Why is the obstruction to lifting a section Zariski-locally such a torsor (and in what topology)? And why correspond such torsors to locally free modules of rank 1? Since X is local and the modules are locally free, there is in fact only the trivial $D$-module, so there is no obstruction. Or is this fact not needed? Maybe you know a good book or some literature, where i can just read and learn that by myself. | |
| Jul 7, 2011 at 16:57 | comment | added | Torsten Ekedahl | $D^\times$-torsors over some $X$-scheme $Y$ correspond to locally free (formally local in the flat topology) $D_Y$-modules of rank $1$. Such modules are locally free already in the Zeriski topology. Now, the obstruction to lifting a section of $i_\ast F$ is such a torsor and hence the section is liftable Zariski-locally. | |
| Jul 7, 2011 at 16:08 | history | asked | TonyS | CC BY-SA 3.0 |