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A comparison theorem for semi-abelian schemes over a smooth curve

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arxiv 1505.02942 v2 pith:GUYVZRTS submitted 2015-05-12 math.AG math.NT

Fabien Trihan , David Vauclair This is my paper · ORCID
classification math.AGmath.NT
keywords curveschemessemi-abelianseparatedsmoothbasescasescohomology
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abstract

We compare flat cohomology with crystalline syntomic complexes in two cases: 1) $p$-divisible groups over a separated $\mathbb F_p$-scheme with local finite $p$-bases, 2) semi-abelian schemes over a separated irreducible smooth curve.

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

    math.AG 2025-06 conditional novelty 7.0 of 10

    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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