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arXiv · 1704.02661

On the Arithmetic Dynamics of Monomial Maps

Jan-Li Lin
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Abstract

We generalized several results for the arithmetic dynamics of monomial maps, including Silverman's conjectures on height growth, dynamical Mordell-Lang conjecture, and dynamical Manin-Mumford conjecture. These results are originally known for monomial maps on algebraic tori. We extend the results to arbitrary toric varieties.

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Jan-Li Lin. 2017-04-09. On the Arithmetic Dynamics of Monomial Maps. https://arxiv.org/abs/1704.02661

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