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arxiv: 1708.00951 · v2 · pith:PNUHGZ2Xnew · submitted 2017-08-02 · 🧮 math.NT · math.AG· math.DS

Canonical Heights and Monomial Maps: On Effective Lower Bounds for Points with Dense Orbit

classification 🧮 math.NT math.AGmath.DS
keywords boundscanonicaldenseeffectiveheightslowermapsmonomial
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We prove, for the canonical height defined by Silverman [15] on monomial maps, the existence of effective lower bounds for heights of points with Zariski dense orbit, for cases with endomorphisms induced by matrices with real Jordan form.

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