On fields of totally $S$-adic numbers

arxiv: 1202.6200 · v2 · pith:L7NHOR2Lnew · submitted 2012-02-28 · 🧮 math.NT · math.AG

On fields of totally S-adic numbers

Lior Bary-Soroker , Arno Fehm , with appendix by Florian Pop This is my paper

classification 🧮 math.NT math.AG

keywords adicfieldnumberstotallyalgebraicfieldsfinitegiven

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Given a finite set $S$ of places of a number field, we prove that the field of totally $S$-adic algebraic numbers is not Hilbertian.

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