Quelques r\'esultats effectifs concernant les invariants de Tsfasman-Vladuts
Number Theory
2009-03-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0903.3027,
title = {Quelques r\'esultats effectifs concernant les invariants de Tsfasman-Vladuts},
author = {Philippe Lebacque},
journal= {arXiv preprint arXiv:0903.3027},
year = {2009}
}
Comments
In french. Preliminary version: comments are very welcome