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math.NT2003
A Lower Bound for the Canonical Height on Abelian Varieties over Abelian Extensions
Matthew Baker, Joseph Silverman
Let A be an abelian variety defined over a number field K, and consider the canonical height function attached to a symmetric ample line bundle L on A. We prove that there is a pos…
math.NT2003★ 3 cited
Canonical Heights, Transfinite Diameters, and Polynomial Dynamics
Matthew Baker, Liang-Chung Hsia
Let phi(z) be a polynomial of degree at least 2 with coefficients in a number field K. Iterating phi gives rise to a dynamical system and a corresponding canonical height function,…