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Results tagged with motives
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user 4008
for questions about motives in algebraic geometry, including constructions of categories of motives and motivic sheaves, and aspects of the standard conjectures.
19
votes
Accepted
Motivic characterization of affine spaces
The answer is no: Let $X$ the projective plane $\mathbb P^2$ minus a smooth
quadric $Q$. Then $[X]=[\mathbb P^2]-[Q]=\mathbb L^2+\mathbb L+1-(\mathbb
L+1)=[\mathbb A^2]$ but $X$ is not isomorphic to $ …
- 22.6k
17
votes
Accepted
Unipotency in realisations of the motivic fundamental group
Essentially because the Tannakian theory gives in the unipotent case (and only in
that case) a reasonably sized answer with an easy motivic interpretation.
For the size you should be aware that alrea …
CommunityBot
- 1