Quelques résultats effectifs concernant les invariants de Tsfasman-Vladuts

Philippe Lebacque (1)

1 UON - University of Nottingham, UK

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.

Mots clés: Infinite global fields; class field theory; density theorems

Domaines: Théorie des nombres [math.NT]

Philippe Lebacque. Quelques résultats effectifs concernant les invariants de Tsfasman-Vladuts. 2009. ⟨hal-00368886⟩