Quelques résultats effectifs concernant les invariants de Tsfasman-Vladuts

Details Quelques résultats effectifs concernant les invariants de Tsfasman-Vladuts Quelques résultats effectifs concernant les invariants de Tsfasman-Vladuts

2009-03-17

arxiv.org/abs/0903.3027v1

Mathematics

Number Theory

In french. Preliminary version: comments are very welcome

Scientific paper

We consider properties of infinite algebraic extensions of global fields through their Tsfasman-Vladuts invariants (related in particular to the decomposition of primes). We use recent results of A. Schmidt and a weak effective version of the Grunwald-Wang theorem to construct infinite global fields having at the same time a given finite set of positive invariants, a prescribed set of invariants being zero and a controlled deficiency.

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