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Positivity of Hodge bundles of abelian varieties over some function fields
Published online by Cambridge University Press: 03 August 2021
Abstract
The main result of this paper concerns the positivity of the Hodge bundles of abelian varieties over global function fields. As applications, we obtain some partial results on the Tate–Shafarevich group and the Tate conjecture of surfaces over finite fields.
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- Research Article
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- © 2021 The Author(s). The publishing rights in this article are licensed to Foundation Compositio Mathematica under an exclusive licence
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