Zariski realization and torsion-freeness conjecture for etale motivic complexes
Zariski realization and torsion-freeness conjecture for etale motivic complexes
Let be the morphism from the etale site to the Zariski site, and let be the continuous etale Tate-twist complex. On the big Zariski site of , consider the natural morphism
Zariski realization conjecture. (a) This morphism is an isomorphism. (b) The Zariski sheaf is torsion-free. Under resolution of singularities and the Kato conjecture, this is related to finite generation statements for motivic cohomology.
Sources & referencesView supporting material
Primary source
Bruno Kahn, “A sheaf-theoretic reformulation of the Tate conjecture”, arXiv:math/9801017 (1998).
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