On the arithmetic dynamics of monomial maps
2018 ◽
Vol 39
(12)
◽
pp. 3388-3406
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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.
2020 ◽
Vol 28
(4)
◽
pp. 513-523
2019 ◽
Vol 27
(4)
◽
pp. 303-308
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2021 ◽
Vol 645
◽
pp. 012008