On the étale cohomology of torsors for abelian schemes (Q1902879)

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scientific article; zbMATH DE number 822821
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On the étale cohomology of torsors for abelian schemes
scientific article; zbMATH DE number 822821

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    On the étale cohomology of torsors for abelian schemes (English)
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    5 March 1996
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    We study the Leray spectral sequence for the integral \(\ell\)-adic cohomology of torsors for abelian schemes. For an abelian scheme over a smooth, geometrically irrducible curve over a finite field, we relate the question of whether a torsor is determined by its étale cohomology with the conjectured finiteness of the set of all such torsors.
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    \(\ell\)-adic cohomology
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    torsors
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    abelian schemes
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    étale cohomology
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