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On the weight zero motivic cohomology

math.AG · 2024-11-27 · conditional · novelty 7.0

Singular cohomology of Berkovich analytifications of schemes over trivially valued fields of characteristic 0 is isomorphic to cdh-cohomology, yielding vanishing of RHom for algebraic group sheaves and identifying RHom between abelian varieties with Hom_{Ab_k}(A,B).

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  • On the weight zero motivic cohomology math.AG · 2024-11-27 · conditional · none · ref 7

    Singular cohomology of Berkovich analytifications of schemes over trivially valued fields of characteristic 0 is isomorphic to cdh-cohomology, yielding vanishing of RHom for algebraic group sheaves and identifying RHom between abelian varieties with Hom_{Ab_k}(A,B).