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

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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.
14 pages

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Number Theory, Algebraic Geometry, 14K12, 37F10

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http://salesiana.dossiersoluciones.com/handle/123456789/160754

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.1560
 http://arxiv.org/abs/0805.1560

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arXiv