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arXiv · 1804.10561

A variant of the Mordell-Lang conjecture

Dragos Ghioca·Fei Hu·Thomas Scanlon·Umberto Zannier
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Abstract

The Mordell-Lang conjecture (proven by Faltings, Vojta and McQuillan) states that the intersection of a subvariety $V$ of a semiabelian variety $G$ defined over an algebraically closed field $\mathbb{k}$ of characteristic $0$ with a finite rank subgroup $\Gamma \le G(\mathbb{k})$ is a finite union of cosets of subgroups of $\Gamma$. We explore a variant of this conjecture when $G$ is a product of an abelian variety $A$ defined over $\mathbb{k}$ with the additive group $\mathbb{G}_a$.

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Dragos Ghioca, Fei Hu, Thomas Scanlon, Umberto Zannier. 2018-04-27. A variant of the Mordell-Lang conjecture. https://doi.org/10.4310/mrl.2019.v26.n5.a7

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