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

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

2008-05-11

arxiv.org/abs/0805.1560v1

Mathematics

Number Theory

14 pages

Scientific paper

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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