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arXiv · 1512.01958

On Euler characteristics of Selmer groups for abelian varieties over global function fields

Maria Valentino
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Abstract

Let $F$ be a global function field of characteristic $p>0$, $K/F$ an $\ell$-adic Lie extension ($\ell\neq p$) and $A/F$ an abelian variety. We provide Euler characteristic formulas for the $Gal(K/F)$-module $Sel_A(K)_\ell$.

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Maria Valentino. 2015-12-07. On Euler characteristics of Selmer groups for abelian varieties over global function fields. https://arxiv.org/abs/1512.01958

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