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Timeline for Rost-Motive for n > 2

Current License: CC BY-SA 3.0

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Jul 11, 2015 at 16:46 comment added David Roberts Fixed your reference so that a) people can see what article it is without clicking and b) they aren't directed straight to the pdf. :-)
Jul 11, 2015 at 16:45 history edited David Roberts CC BY-SA 3.0
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Jul 11, 2015 at 14:45 answer added Louis La Brocante timeline score: 3
Apr 3, 2014 at 18:58 comment added Victor Petrov For any $n$ the Chow motive of $n$-fold Pfister quadric decomposes into Tate twists of the Rost motive.
Jan 7, 2014 at 18:23 comment added Jason Pioneer Ok i understand this so far.But let me be bit more precise.For a 2 fold,anisotropic Pfister-quadric $X_\phi, \phi = <<a,b>>$ ,the motivic decomposition is $M(X_\phi) = M_\alpha \oplus M_\alpha[1]$. So this contains only one Motive up to twists. As far as i understand the situation,you are trying to tell me that for a n-fold,n>2 Pfister-quadric there will be completely different summands in the decomposition even modulo Tate-twists? This is what i mean.
Jan 7, 2014 at 4:42 comment added Mikhail Bondarko Usually Rost motives are direct summands of motives of algebraic varieties, i.e. you want to consider specific pieces of motives of (certain) varieties.
Jan 6, 2014 at 19:53 history asked Jason Pioneer CC BY-SA 3.0