A lower bound for the canonical height on abelian varieties over abelian extensions
by
Matthew H. Baker
,
Joseph
,
H. Silverman
| Citations: | 6 - 0 self |
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@MISC{Baker_alower,
author = {Matthew H. Baker and Joseph and H. Silverman},
title = {A lower bound for the canonical height on abelian varieties over abelian extensions},
year = {}
}
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Abstract
Abstract. Let A be an abelian variety defined over a number field K and let ˆ h be the canonical height function on A ( ¯ K) attached to a symmetric ample line bundle L. We prove that there exists a constant C = C(A, K, L)> 0 such that ˆ h(P) ≥ C for all nontorsion points P ∈ A(K ab), where K ab is the maximal abelian extension of K.
