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Results tagged with motives
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user 58688
for questions about motives in algebraic geometry, including constructions of categories of motives and motivic sheaves, and aspects of the standard conjectures.
3
votes
Some questions about the map $K_0(\text{Var})\to K_0(\text{Mot})$
Answer to question #2 is no. (Also I don't know what I meant by "restrict to classes of smooth varieties" since these generate the ring in the only case where we know how to define the map.) $[\mathbb …
- 693
8
votes
2
answers
784
views
Some questions about the map $K_0(\text{Var})\to K_0(\text{Mot})$
In characteristic zero, I can see how to define a map $K_0(\text{Var})\to K_0(\text{Mot})$; we just need "excision for motives," i.e. an agreement of the motives corresponding to $[X]-[Y]$ and $[W]-[Z] … (3) If we take motives with rational coefficients, is the resulting Grothendieck group a domain? …
- 693