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Finiteness conjecture for Zariski cohomology of etale cohomology sheaves
Finiteness conjecture. These groups are finite. This conjecture is introduced to obtain finite-generation consequences for motivic cohomology when combined with the etale realizati…
Conjecturerefutedetale-cohomology finiteness zariski-cohomologyarXiv posted 2 days ago
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Zariski realization and torsion-freeness conjecture for etale motivic complexes
Zariski realization conjecture. (a) This morphism is an isomorphism. (b) The Zariski sheaf $R^{n+1}\alpha_*{\Bbb Z}_l(n)^c$ is torsion-free. Under resolution of singularities and t…
Conjecturerefutedetale-cohomology motivic-cohomology zariski-cohomologyarXiv posted 2 days ago

Finiteness conjecture for Zariski cohomology of etale cohomology sheaves