2011/03/07 by Pottmeyer, Lukas
#11G50 #37P30 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1103.1294
A field F is said to have the Bogomolov Property related to a height function h, if h(a) is either zero or bounded from below by a positive constant for all a in F. In this paper we prove that the maximal algebraic extension of a number field K, which is unramified at a place v|p, has the Bogomolov Property related to all canonical heights coming from a Lattès map related to a Tate elliptic curve. To prove this algebraical statement we use analytic methods on the related Berkovich spaces.