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arXiv · 0808.3266

The dynamical Mordell-Lang problem for etale maps

Jason Bell·Dragos Ghioca·Thomas J. Tucker
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Abstract

We prove a dynamical version of the Mordell-Lang conjecture for etale endomorphisms of quasiprojective varieties. We use p-adic methods inspired by the work of Skolem, Mahler, and Lech, combined with methods from algebraic geometry. As special cases of our result we obtain a new proof of the classical Mordell-Lang conjecture for cyclic subgroups of a semiabelian variety, and we also answer positively a question of Keeler/Rogalski/Stafford for critically dense sequences of closed points of a Noetherian integral scheme.

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Jason Bell, Dragos Ghioca, Thomas J. Tucker. 2008-08-24. The dynamical Mordell-Lang problem for etale maps. https://arxiv.org/abs/0808.3266

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