Positivity of Hodge bundles of abelian varieties over some function fields
Algebraic Geometry
2018-08-14 v1
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.
Keywords
Cite
@article{arxiv.1808.03960,
title = {Positivity of Hodge bundles of abelian varieties over some function fields},
author = {Xinyi Yuan},
journal= {arXiv preprint arXiv:1808.03960},
year = {2018}
}
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