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Results tagged with motives
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user 5031
for questions about motives in algebraic geometry, including constructions of categories of motives and motivic sheaves, and aspects of the standard conjectures.
8
votes
Accepted
Why do we need localization by Leftschetz motive?
Let $$H : K_0(\mathcal{M}_{\mathbb{C}}) \to K_0(MHM_{\mathbb{C}})$$ be the Hodge realization from the Grothendieck ring of Chow motives to the Grothendieck ring of mixed Hodge modules, then $H$ kills all … \mathbb{L}$ is a zerodivisor, then the natural morphism $K_0(Var_{\mathbb{C}})[\mathbb{L}^{-1}]\to \bar K$ is not injective, yet this does not imply that the conjecture on a weight filtration of chow motives …
- 761
3
votes
Grothendieck ring of "varieties carrying a function"
To answer your question is a bit difficult because anytime you sum elements of something built out of the grothendieck ring of varieties you are doing (or attempting to do) motivic integration. Pairs …
- 761