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On the arithmetic dynamics of monomial maps

Published online by Cambridge University Press:  13 March 2018

JAN-LI LIN
JAN-LI LIN*
Affiliation:
St. Louis, MO, USA email janlin@indiana.edu
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Abstract

We prove 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 were originally known for monomial maps on algebraic tori. We extend them to arbitrary toric varieties.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 12 , December 2019 , pp. 3388 - 3406
Copyright
© Cambridge University Press, 2018 

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