Variation of canonical height and equidistribution
نویسندگان
چکیده
منابع مشابه
Entropy and the Canonical Height
The height of an algebraic number in the sense of Diophantine geometry is a measure of arithmetic complexity. There is a well-known relationship between the entropy of automorphisms of solenoids and classical heights. We consider an elliptic analogue of this relationship, which involves two novel features. Firstly, the introduction of a notion of entropy for sequences of transformations. Second...
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Let d ≥ 2 be an integer, let c ∈ Q̄(t) be a rational map, and let ft(z) := z+t z be a family of rational maps indexed by t. For each t = λ ∈ Q̄, we let ĥfλ (c(λ)) be the canonical height of c(λ) with respect to the rational map fλ; also we let ĥf (c) be the canonical height of c on the generic fiber of the above family of rational maps. We prove that there exists a constant C depending only on c ...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2020
ISSN: 1080-6377
DOI: 10.1353/ajm.2020.0012