ResumePlansetal. 62KB Jun 04 2011 12:07:07 AM
Journal de Th´eorie des Nombres
de Bordeaux 17 (2005), 271–282
Galois covers of P1 over Q with prescribed local or
global behavior by specialization
´ria VILA
par Bernat PLANS et Nu
´sume
´. On consid`ere des versions raffin´ees du Probl`eme Inverse
Re
de Galois. Nous ´etudions le comportement local et global des
sp´ecialisations rationnelles de quelques revˆetements galoisiens finis
de P1Q .
Abstract. 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 P1Q .
Bernat Plans
Dept. de Matem`
atica Aplicada I
Universitat Polit`
ecnica de Catalunya
Av. Diagonal, 647
08028 Barcelona, Spain
E-mail : [email protected]
N´
uria Vila
`
Dept. d’Algebra
i Geometria
Universitat de Barcelona
Gran Via de les Corts Catalanes, 585
08007 Barcelona, Spain
E-mail : [email protected]
Research partially supported by MCYT grant BFM2003-01898.
de Bordeaux 17 (2005), 271–282
Galois covers of P1 over Q with prescribed local or
global behavior by specialization
´ria VILA
par Bernat PLANS et Nu
´sume
´. On consid`ere des versions raffin´ees du Probl`eme Inverse
Re
de Galois. Nous ´etudions le comportement local et global des
sp´ecialisations rationnelles de quelques revˆetements galoisiens finis
de P1Q .
Abstract. 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 P1Q .
Bernat Plans
Dept. de Matem`
atica Aplicada I
Universitat Polit`
ecnica de Catalunya
Av. Diagonal, 647
08028 Barcelona, Spain
E-mail : [email protected]
N´
uria Vila
`
Dept. d’Algebra
i Geometria
Universitat de Barcelona
Gran Via de les Corts Catalanes, 585
08007 Barcelona, Spain
E-mail : [email protected]
Research partially supported by MCYT grant BFM2003-01898.