A Bogomolov type property relative to a normalized height on $M_n(\masaoQB)$

Authors

  • Masao Okazaki

DOI:

https://doi.org/10.1285/i15900932v39n1p59

Keywords:

normalized height on $M_n(\masaoQB)$, Bogomolov property

Abstract

In \cite{Tala 99}, Talamanca introduced a normalized height on $M_n(\masaoQB)$, which is an analogue of the canonical height on elliptic curves. In this paper, we examine whether $M_n(F)$ has a Bogomolov type property relative to this height if a subfield $F\subset\masaoQB$ has the Bogomolov property.

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Published

17-09-2019

Issue

Volume 39, Issue 1 (2019)

Section

Articoli

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