On Tsfasman--Vlăduţ Invariants of Infinite Global Fields

Details On Tsfasman--Vlăduţ Invariants of Infinite Global Fields On Tsfasman--Vlăduţ Invariants of Infinite Global Fields

2008-01-07

arxiv.org/abs/0801.0972v1

Mathematics

Number Theory

Scientific paper

In this article we study certain asymptotic properties of global fields. We consider the set of Tsfasman-Vladuts invariants of infinite global fields and answer some natural questions arising from their work. In particular, we prove the existence of infinite global fields having finitely many strictly positive invariants at given places, and the existence of infinite number fields with certain prescribed invariants being zero. We also give precisions on the deficiency of infinite global fields and on the primes decomposition in those fields.

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