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arXiv · 2105.00570

Integral points on punctured abelian varieties

Samir Siksek
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Abstract

Let $A$ be an abelian variety over the rationals, and suppose $A(\mathbb{Q})=0$. Let $\ell$ be a rational prime. Subject to a mild condition on the mod $\ell$ representation of $A$, we show that the punctured variety $A-0$ has no integral points over 100% of cyclic degree $\ell$ number fields.

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Samir Siksek. 2021-05-02. Integral points on punctured abelian varieties. https://arxiv.org/abs/2105.00570

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