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Timeline for Affine bundles over varieties

Current License: CC BY-SA 2.5

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Feb 8, 2011 at 5:45 vote accept rvk
Feb 8, 2011 at 5:46
Feb 8, 2011 at 5:45 vote accept rvk
Feb 8, 2011 at 5:45
Feb 6, 2011 at 23:20 comment added Georges Elencwajg (continuation) There is also a a nice survey by Jahnel of these questions that you can find here: uni-math.gwdg.de/jahnel/Arbeiten/Bpal.pdf
Feb 6, 2011 at 23:11 comment added Georges Elencwajg Dear Dan, my favourite reference is without doubt Gille and Szamuely's book [1] Central Simple Algebras And Galois Cohomology. It is written in a very user-friendly style and I think you can fairly quickly jump to Chapter 5, where Severi-Brauer schemes are introduced and linked to $PGL_n(k)$ . [1]; books.google.fr/… (to be continued)
Feb 6, 2011 at 23:01 comment added inkspot Dan, if you will accept an interruption, my own recommendation would be the first parts of Deligne's Arcata lectures in SGA4 1/2.
Feb 6, 2011 at 22:06 history edited Georges Elencwajg CC BY-SA 2.5
replaced "affine" by "affine-linear"
Feb 6, 2011 at 20:15 comment added Dan Petersen Dear Georges: I have a few times decided to try to understand what the Brauer group is, but not even grasped the definition of an Azumaya algebra. Your last remark makes the whole thing sound very reasonable and geometric -- could you perhaps say a few words about what $\mathrm{PGL}_n$-torsors have to do with the Brauer group, or recommend a readable reference?
Feb 6, 2011 at 19:26 comment added Dave Anderson Thanks for this! (I hadn't known all solvable groups were special -- only thinking of the classification for semisimple ones, I forgot not every group is semisimple...)
Feb 6, 2011 at 16:53 history edited Georges Elencwajg CC BY-SA 2.5
Added " in the case of affine transition functions"
Feb 6, 2011 at 16:17 history answered Georges Elencwajg CC BY-SA 2.5