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


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.

DOI Code: 10.1285/i15900932v39n1p59

Keywords: normalized height on $M_n(\masaoQB)$; Bogomolov property

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