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arXiv · 0903.3027

Quelques résultats effectifs concernant les invariants de Tsfasman-Vladuts

Philippe Lebacque
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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.

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Philippe Lebacque. 2009-03-17. Quelques résultats effectifs concernant les invariants de Tsfasman-Vladuts. https://arxiv.org/abs/0903.3027

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