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arXiv · 1808.03960

Positivity of Hodge bundles of abelian varieties over some function fields

Xinyi Yuan
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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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Xinyi Yuan. 2018-08-12. Positivity of Hodge bundles of abelian varieties over some function fields. https://arxiv.org/abs/1808.03960

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