The critical height is a moduli height
DUKE MATHEMATICAL JOURNAL(2018)
摘要
Silverman defined the critical height of a rational function f(z) of degree d >= 2 in terms of the asymptotic rate of growth of the Weil height along the critical orbits of f. He also conjectured that this quantity was commensurate to an ample Weil height on the moduli space of rational functions degree d. We prove that conjecture.
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