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Results tagged with motives
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user 3545
for questions about motives in algebraic geometry, including constructions of categories of motives and motivic sheaves, and aspects of the standard conjectures.
9
votes
Why does one invert $G_m$ in the construction of the motivic stable homotopy category?
Though I'm not an expert on motives, by any measure, I think that an answer to your question can be given by considering periods. As Kontsevich and Zagier recall in their paper "Periods", publ. … So, as I understand it, one can not achieve comparison isomorphisms of Betti and de Rham realizations of motives (or at least not write down the isomorphism in both directions) without inverting the period …
- 13.3k
5
votes
Accepted
Constructing groups of Type E7 with certain Tits Index
This might shed some light on relationship between anisotropic quadratic forms in 10 variables and the desired forms of $E_7$, though it uses results more recent than Tits, and doesn't quite answer yo …
- 13.3k
13
votes
0
answers
883
views
Stack of Tannakian categories? Galois descent?
Now, both Artin motives (I'm sure) and Weil motives (I'm pretty sure) obey Galois descent. … So, I guess that this means we have the following: for each such $F' / F$ a Tannakian category (of Artin motives, or Weil motives) over $k$. …
- 13.3k