Adelic geometry and polarity

JOURNAL OF NUMBER THEORY

卷:132

Article

Thiel, Carsten

关键词: Adelic geometry;    Successive minima;    Polarity;   

DOI  :  10.1016/j.jnt.2012.02.012

来源: Elsevier

【 摘 要 】

In the present paper we generalise transference theorems from the classical geometry of numbers to the geometry of numbers over the ring of adeles of a number field. To this end we introduce a notion of polarity for adelic convex bodies. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free