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Werner Bauer, On the conjecture of Birch, Swinnerton-Dyer for abelian varieties over function fields in characteristic p > 0 · 1992

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F-isocrystals of Higher Direct Images of $p$-Divisible Groups

math.AG · 2025-06-13 · conditional · novelty 7.0

For a p-divisible group G over a smooth projective X/k in characteristic p, the formal group R^i f_fppf* G is isogenous to a p-divisible group whose Dieudonné crystal is the slope-[0,1] part of R^i f_crys* M^cr(G).

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  • F-isocrystals of Higher Direct Images of $p$-Divisible Groups math.AG · 2025-06-13 · conditional · none · ref 2

    For a p-divisible group G over a smooth projective X/k in characteristic p, the formal group R^i f_fppf* G is isogenous to a p-divisible group whose Dieudonné crystal is the slope-[0,1] part of R^i f_crys* M^cr(G).