ResumePlansetal. 62KB Jun 04 2011 12:07:07 AM

Journal de Th´

eorie des Nombres

de Bordeaux

17

_{(2005), 271–282}

Galois covers of

P

1

over

Q

with prescribed local or

global behavior by specialization

par

Bernat PLANS

_et

N´

uria VILA

R´esum´e. _{On consid`ere des versions raffin´ees du Probl`eme Inverse} de Galois. Nous ´etudions le comportement local et global des sp´ecialisations rationnelles de quelques revˆetements galoisiens finis deP1

Q.

Abstract. _{This paper considers some refined versions of the} In-verse Galois Problem. We study the local or global behavior of rational specializations of some finite Galois covers ofP1

Q.

BernatPlans

Dept. de Matem`atica Aplicada I Universitat Polit`ecnica de Catalunya Av. Diagonal, 647

08028 Barcelona, Spain

E-mail_{:bernat.plans@upc.edu}

N´uriaVila

Dept. d’ `Algebra i Geometria Universitat de Barcelona

Gran Via de les Corts Catalanes, 585 08007 Barcelona, Spain

E-mail_{:nuriavila@ub.edu}