Adelic Geometry and Polarity

Details Adelic Geometry and Polarity Adelic Geometry and Polarity

2011-11-17

arxiv.org/abs/1111.4097v1

Mathematics

Number Theory

8 pages

Scientific paper

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.

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