Geodesic
Toward a theorem of Douady
Algebra i logika, Tome 49 (2010) no. 6, pp. 757-765

Voir la notice de l'article provenant de la source Math-Net.Ru

A theorem of Douady says that the absolute Galois group of a rational function field $F(x)$ in one variable over an algebraically closed field $F$ of characteristic 0 is a free profinite group. A new method is proposed to extend Douady's theorem from the case of the complex number field $F=\mathbb C$ to the case of an arbitrary field.
Mots-clés : absolute Galois group
Keywords: profinite group, field. 
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     author = {Yu. L. Ershov},
     title = {Toward a~theorem of {Douady}},
     journal = {Algebra i logika},
     pages = {757--765},
     publisher = {mathdoc},
     volume = {49},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2010_49_6_a2/}
}
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Yu. L. Ershov. Toward a theorem of Douady. Algebra i logika, Tome 49 (2010) no. 6, pp. 757-765. http://geodesic.mathdoc.fr/item/AL_2010_49_6_a2/