Galois covers of ${\mathbb{P}}^1$ over $\mathbb{Q}$ with prescribed local or global behavior by specialization

Plans, Bernat; Vila, Núria

Journal de théorie des nombres de Bordeaux, Tome 17 (2005) no. 1, pp. 271-282.

On considère des versions raffinées du Problème Inverse de Galois. Nous étudions le comportement local et global des spécialisations rationnelles de quelques revêtements galoisiens finis de ${\mathbb{P}}_{\mathbb{Q}}^1$.

This paper considers some refined versions of the Inverse Galois Problem. We study the local or global behavior of rational specializations of some finite Galois covers of ${\mathbb{P}}_{\mathbb{Q}}^1$.

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