Reduction of Weil's height in a compositum of ray class field

[摘要] The study of Property (B) starts as a special case of Lehmer's conjecture. An algebraic field is said to satisfy Property (B) if there exists a positive constant bounding by below the height of every point of infinite order. In this paper we prove that, under certain uniformity conditions, the compositum of a familly of fields satisfies Property (B). (C) 2019 Elsevier Inc. Tous droits reserves.

[发布日期] 2019-12-01

[关键词] Lower bound for the height