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arXiv · 0805.1560

Periodic points, linearizing maps, and the dynamical Mordell-Lang problem

Dragos Ghioca·Thomas J. Tucker
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Abstract

We prove a dynamical version of the Mordell-Lang conjecture for subvarieties of quasiprojective varieties X, endowed with the action of a morphism f:X --> X. We use an analytic method based on the technique of Skolem, Mahler, and Lech, along with results of Herman and Yoccoz from nonarchimedean dynamics.

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Dragos Ghioca, Thomas J. Tucker. 2008-05-11. Periodic points, linearizing maps, and the dynamical Mordell-Lang problem. https://arxiv.org/abs/0805.1560

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