On the Arithmetic Dynamics of Monomial Maps

Published 9 Apr 2017 in math.DS, math.AG, and math.NT | (1704.02661v1)

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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Authors (1)

Jan-Li Lin

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